diff --git a/src/lib/prov/pkcs11/p11_ecc_key.cpp b/src/lib/prov/pkcs11/p11_ecc_key.cpp
index 9a35b9f0543..6162e69bf2a 100644
--- a/src/lib/prov/pkcs11/p11_ecc_key.cpp
+++ b/src/lib/prov/pkcs11/p11_ecc_key.cpp
@@ -48,14 +48,14 @@ PKCS11_EC_PublicKey::PKCS11_EC_PublicKey(Session& session, ObjectHandle handle)
 
    EC_Group group(ec_parameters);
    auto pt = decode_public_point(group, pt_bytes);
-   m_public_key = std::make_shared<EC_PublicKey_Data>(group, pt);
+   m_public_key = std::make_shared<EC_PublicKey_Data>(std::move(group), std::move(pt));
 }
 
 PKCS11_EC_PublicKey::PKCS11_EC_PublicKey(Session& session, const EC_PublicKeyImportProperties& props) :
       Object(session, props) {
    EC_Group group(props.ec_params());
    auto pt = decode_public_point(group, props.ec_point());
-   m_public_key = std::make_shared<EC_PublicKey_Data>(group, pt);
+   m_public_key = std::make_shared<EC_PublicKey_Data>(std::move(group), std::move(pt));
 }
 
 EC_PrivateKeyImportProperties::EC_PrivateKeyImportProperties(const std::vector<uint8_t>& ec_params,
diff --git a/src/lib/pubkey/ec_group/ec_inner_data.cpp b/src/lib/pubkey/ec_group/ec_inner_data.cpp
index e13d15ddde9..df34b864aa5 100644
--- a/src/lib/pubkey/ec_group/ec_inner_data.cpp
+++ b/src/lib/pubkey/ec_group/ec_inner_data.cpp
@@ -93,9 +93,9 @@ std::unique_ptr<EC_Scalar_Data> EC_Group_Data::scalar_one() const {
    return std::make_unique<EC_Scalar_Data_BN>(shared_from_this(), BigInt::one());
 }
 
-std::unique_ptr<EC_Scalar_Data> EC_Group_Data::scalar_from_bigint(const BigInt& bn) const {
+std::unique_ptr<EC_Scalar_Data> EC_Group_Data::scalar_from_bigint(BigInt bn) const {
    // Assumed to have been already checked as in range
-   return std::make_unique<EC_Scalar_Data_BN>(shared_from_this(), bn);
+   return std::make_unique<EC_Scalar_Data_BN>(shared_from_this(), std::move(bn));
 }
 
 std::unique_ptr<EC_Scalar_Data> EC_Group_Data::gk_x_mod_order(const EC_Scalar_Data& scalar,
diff --git a/src/lib/pubkey/ec_group/ec_inner_data.h b/src/lib/pubkey/ec_group/ec_inner_data.h
index c80ebafd5ba..2cb39ec1fb3 100644
--- a/src/lib/pubkey/ec_group/ec_inner_data.h
+++ b/src/lib/pubkey/ec_group/ec_inner_data.h
@@ -185,7 +185,7 @@ class EC_Group_Data final : public std::enable_shared_from_this<EC_Group_Data> {
 
       std::unique_ptr<EC_Scalar_Data> scalar_from_bytes_mod_order(std::span<const uint8_t> bytes) const;
 
-      std::unique_ptr<EC_Scalar_Data> scalar_from_bigint(const BigInt& bn) const;
+      std::unique_ptr<EC_Scalar_Data> scalar_from_bigint(BigInt bn) const;
 
       std::unique_ptr<EC_Scalar_Data> scalar_random(RandomNumberGenerator& rng) const;
 
diff --git a/src/lib/pubkey/ec_group/ec_scalar.cpp b/src/lib/pubkey/ec_group/ec_scalar.cpp
index e805d9d61ab..9fc982a3f57 100644
--- a/src/lib/pubkey/ec_group/ec_scalar.cpp
+++ b/src/lib/pubkey/ec_group/ec_scalar.cpp
@@ -58,9 +58,9 @@ EC_Scalar EC_Scalar::one(const EC_Group& group) {
    return EC_Scalar(group._data()->scalar_one());
 }
 
-EC_Scalar EC_Scalar::from_bigint(const EC_Group& group, const BigInt& bn) {
+EC_Scalar EC_Scalar::from_bigint(const EC_Group& group, BigInt bn) {
    BOTAN_ARG_CHECK(bn.is_positive() && bn <= group._data()->order(), "EC_Scalar::from_bigint out of range");
-   return EC_Scalar(group._data()->scalar_from_bigint(bn));
+   return EC_Scalar(group._data()->scalar_from_bigint(std::move(bn)));
 }
 
 BigInt EC_Scalar::to_bigint() const {
diff --git a/src/lib/pubkey/ec_group/ec_scalar.h b/src/lib/pubkey/ec_group/ec_scalar.h
index 6ee1e5342db..a820b95de71 100644
--- a/src/lib/pubkey/ec_group/ec_scalar.h
+++ b/src/lib/pubkey/ec_group/ec_scalar.h
@@ -86,7 +86,7 @@ class BOTAN_UNSTABLE_API EC_Scalar final {
       *
       * Throws an exception if the provided bn is negative or too large
       */
-      static EC_Scalar from_bigint(const EC_Group& group, const BigInt& bn);
+      static EC_Scalar from_bigint(const EC_Group& group, BigInt bn);
 
       /**
       * Compute the elliptic curve scalar multiplication (g*k) where g is the
diff --git a/src/lib/pubkey/ecc_key/ec_key_data.cpp b/src/lib/pubkey/ecc_key/ec_key_data.cpp
index 246ec51e2ab..3b3a29230c5 100644
--- a/src/lib/pubkey/ecc_key/ec_key_data.cpp
+++ b/src/lib/pubkey/ecc_key/ec_key_data.cpp
@@ -4,30 +4,33 @@
 * Botan is released under the Simplified BSD License (see license.txt)
 */
 
+#include "botan/ec_apoint.h"
 #include <botan/internal/ec_key_data.h>
 
 #include <botan/rng.h>
 
 namespace Botan {
 
-EC_PublicKey_Data::EC_PublicKey_Data(const EC_Group& group, std::span<const uint8_t> bytes) :
-      m_group(group), m_point(EC_AffinePoint(group, bytes)), m_legacy_point(m_point.to_legacy_point()) {}
+EC_PublicKey_Data::EC_PublicKey_Data(EC_Group group, std::span<const uint8_t> bytes) :
+      m_group(std::move(group)), m_point(m_group, bytes), m_legacy_point(m_point.to_legacy_point()) {}
 
-EC_PrivateKey_Data::EC_PrivateKey_Data(const EC_Group& group, RandomNumberGenerator& rng) :
-      m_group(group), m_scalar(EC_Scalar::random(m_group, rng)), m_legacy_x(m_scalar.to_bigint()) {}
+EC_PrivateKey_Data::EC_PrivateKey_Data(EC_Group group, RandomNumberGenerator& rng) :
+      m_group(std::move(group)), m_scalar(EC_Scalar::random(m_group, rng)), m_legacy_x(m_scalar.to_bigint()) {}
 
-EC_PrivateKey_Data::EC_PrivateKey_Data(const EC_Group& group, const BigInt& x) :
-      m_group(group), m_scalar(EC_Scalar::from_bigint(m_group, x)), m_legacy_x(m_scalar.to_bigint()) {}
+EC_PrivateKey_Data::EC_PrivateKey_Data(EC_Group group, BigInt x) :
+      m_group(std::move(group)),
+      m_scalar(EC_Scalar::from_bigint(m_group, std::move(x))),
+      m_legacy_x(m_scalar.to_bigint()) {}
 
-EC_PrivateKey_Data::EC_PrivateKey_Data(const EC_Group& group, const EC_Scalar& x) :
-      m_group(group), m_scalar(x), m_legacy_x(m_scalar.to_bigint()) {}
+EC_PrivateKey_Data::EC_PrivateKey_Data(EC_Group group, EC_Scalar x) :
+      m_group(std::move(group)), m_scalar(std::move(x)), m_legacy_x(m_scalar.to_bigint()) {}
 
-EC_PrivateKey_Data::EC_PrivateKey_Data(const EC_Group& group, std::span<const uint8_t> bytes) :
-      m_group(group), m_scalar(EC_Scalar(m_group, bytes)), m_legacy_x(m_scalar.to_bigint()) {}
+EC_PrivateKey_Data::EC_PrivateKey_Data(EC_Group group, std::span<const uint8_t> bytes) :
+      m_group(std::move(group)), m_scalar(m_group, bytes), m_legacy_x(m_scalar.to_bigint()) {}
 
 std::shared_ptr<EC_PublicKey_Data> EC_PrivateKey_Data::public_key(RandomNumberGenerator& rng,
                                                                   bool with_modular_inverse) const {
-   auto public_point = [&]() {
+   auto public_point = [&] {
       std::vector<BigInt> ws;
       if(with_modular_inverse) {
          return EC_AffinePoint::g_mul(m_scalar.invert(), rng, ws);
diff --git a/src/lib/pubkey/ecc_key/ec_key_data.h b/src/lib/pubkey/ecc_key/ec_key_data.h
index d3c16bfb21b..9c4382562ec 100644
--- a/src/lib/pubkey/ecc_key/ec_key_data.h
+++ b/src/lib/pubkey/ecc_key/ec_key_data.h
@@ -23,7 +23,7 @@ class EC_PublicKey_Data final {
       EC_PublicKey_Data(EC_Group group, EC_AffinePoint pt) :
             m_group(std::move(group)), m_point(std::move(pt)), m_legacy_point(m_point.to_legacy_point()) {}
 
-      EC_PublicKey_Data(const EC_Group& group, std::span<const uint8_t> bytes);
+      EC_PublicKey_Data(EC_Group group, std::span<const uint8_t> bytes);
 
       const EC_Group& group() const { return m_group; }
 
@@ -39,13 +39,13 @@ class EC_PublicKey_Data final {
 
 class EC_PrivateKey_Data final {
    public:
-      EC_PrivateKey_Data(const EC_Group& group, RandomNumberGenerator& rng);
+      EC_PrivateKey_Data(EC_Group group, RandomNumberGenerator& rng);
 
-      EC_PrivateKey_Data(const EC_Group& group, const BigInt& x);
+      EC_PrivateKey_Data(EC_Group group, BigInt x);
 
-      EC_PrivateKey_Data(const EC_Group& group, const EC_Scalar& x);
+      EC_PrivateKey_Data(EC_Group group, EC_Scalar x);
 
-      EC_PrivateKey_Data(const EC_Group& group, std::span<const uint8_t> bytes);
+      EC_PrivateKey_Data(EC_Group group, std::span<const uint8_t> bytes);
 
       std::shared_ptr<EC_PublicKey_Data> public_key(RandomNumberGenerator& rng, bool with_modular_inverse) const;
 
diff --git a/src/lib/pubkey/ecc_key/ecc_key.cpp b/src/lib/pubkey/ecc_key/ecc_key.cpp
index 207ac218533..6932e18ee94 100644
--- a/src/lib/pubkey/ecc_key/ecc_key.cpp
+++ b/src/lib/pubkey/ecc_key/ecc_key.cpp
@@ -40,14 +40,14 @@ EC_Group_Encoding default_encoding_for(const EC_Group& group) {
 
 }  // namespace
 
-EC_PublicKey::EC_PublicKey(const EC_Group& group, const EC_Point& pub_point) {
+EC_PublicKey::EC_PublicKey(EC_Group group, const EC_Point& pub_point) {
    auto pt = EC_AffinePoint(group, pub_point);
-   m_public_key = std::make_shared<EC_PublicKey_Data>(group, pt);
+   m_public_key = std::make_shared<EC_PublicKey_Data>(std::move(group), std::move(pt));
    m_domain_encoding = default_encoding_for(domain());
 }
 
-EC_PublicKey::EC_PublicKey(const EC_Group& group, const EC_AffinePoint& pub_point) {
-   m_public_key = std::make_shared<EC_PublicKey_Data>(group, pub_point);
+EC_PublicKey::EC_PublicKey(EC_Group group, EC_AffinePoint pub_point) {
+   m_public_key = std::make_shared<EC_PublicKey_Data>(std::move(group), std::move(pub_point));
    m_domain_encoding = default_encoding_for(domain());
 }
 
@@ -123,28 +123,25 @@ const EC_Scalar& EC_PrivateKey::_private_key() const {
 /**
 * EC_PrivateKey constructor
 */
-EC_PrivateKey::EC_PrivateKey(RandomNumberGenerator& rng,
-                             const EC_Group& ec_group,
-                             const BigInt& x,
-                             bool with_modular_inverse) {
+EC_PrivateKey::EC_PrivateKey(RandomNumberGenerator& rng, EC_Group ec_group, BigInt x, bool with_modular_inverse) {
    if(x == 0) {
-      m_private_key = std::make_shared<EC_PrivateKey_Data>(ec_group, rng);
+      m_private_key = std::make_shared<EC_PrivateKey_Data>(std::move(ec_group), rng);
    } else {
-      m_private_key = std::make_shared<EC_PrivateKey_Data>(ec_group, x);
+      m_private_key = std::make_shared<EC_PrivateKey_Data>(std::move(ec_group), std::move(x));
    }
 
    m_public_key = m_private_key->public_key(rng, with_modular_inverse);
    m_domain_encoding = default_encoding_for(domain());
 }
 
-EC_PrivateKey::EC_PrivateKey(RandomNumberGenerator& rng, const EC_Group& ec_group, bool with_modular_inverse) {
-   m_private_key = std::make_shared<EC_PrivateKey_Data>(ec_group, rng);
+EC_PrivateKey::EC_PrivateKey(RandomNumberGenerator& rng, EC_Group ec_group, bool with_modular_inverse) {
+   m_private_key = std::make_shared<EC_PrivateKey_Data>(std::move(ec_group), rng);
    m_public_key = m_private_key->public_key(rng, with_modular_inverse);
    m_domain_encoding = default_encoding_for(domain());
 }
 
-EC_PrivateKey::EC_PrivateKey(const EC_Group& ec_group, const EC_Scalar& x, bool with_modular_inverse) {
-   m_private_key = std::make_shared<EC_PrivateKey_Data>(ec_group, x);
+EC_PrivateKey::EC_PrivateKey(EC_Group ec_group, EC_Scalar x, bool with_modular_inverse) {
+   m_private_key = std::make_shared<EC_PrivateKey_Data>(std::move(ec_group), std::move(x));
    m_public_key = m_private_key->public_key(with_modular_inverse);
    m_domain_encoding = default_encoding_for(domain());
 }
diff --git a/src/lib/pubkey/ecc_key/ecc_key.h b/src/lib/pubkey/ecc_key/ecc_key.h
index ead44039d54..cdee56e87cc 100644
--- a/src/lib/pubkey/ecc_key/ecc_key.h
+++ b/src/lib/pubkey/ecc_key/ecc_key.h
@@ -107,7 +107,7 @@ class BOTAN_PUBLIC_API(2, 0) EC_PublicKey : public virtual Public_Key {
       * @param group EC domain parameters
       * @param pub_point public point on the curve
       */
-      EC_PublicKey(const EC_Group& group, const EC_Point& pub_point);
+      EC_PublicKey(EC_Group group, const EC_Point& pub_point);
 
       /**
       * Load a public key from the point.
@@ -115,7 +115,7 @@ class BOTAN_PUBLIC_API(2, 0) EC_PublicKey : public virtual Public_Key {
       * @param group EC domain parameters
       * @param pub_point public point on the curve
       */
-      EC_PublicKey(const EC_Group& group, const EC_AffinePoint& pub_point);
+      EC_PublicKey(EC_Group group, EC_AffinePoint pub_point);
 
       /**
       * Load a public key.
@@ -170,10 +170,7 @@ class BOTAN_PUBLIC_API(2, 0) EC_PrivateKey : public virtual EC_PublicKey,
       * x (as in ECGDSA and ECKCDSA), otherwise by
       * multiplying directly with x (as in ECDSA).
       */
-      EC_PrivateKey(RandomNumberGenerator& rng,
-                    const EC_Group& domain,
-                    const BigInt& x,
-                    bool with_modular_inverse = false);
+      EC_PrivateKey(RandomNumberGenerator& rng, EC_Group domain, BigInt x, bool with_modular_inverse = false);
 
       /*
       * Creates a new private key
@@ -182,7 +179,7 @@ class BOTAN_PUBLIC_API(2, 0) EC_PrivateKey : public virtual EC_PublicKey,
       * multiplying the base point with the modular inverse of x (as in ECGDSA
       * and ECKCDSA), otherwise by multiplying directly with x (as in ECDSA).
       */
-      EC_PrivateKey(RandomNumberGenerator& rng, const EC_Group& group, bool with_modular_inverse = false);
+      EC_PrivateKey(RandomNumberGenerator& rng, EC_Group group, bool with_modular_inverse = false);
 
       /*
       * Load a EC private key from the secret scalar
@@ -191,7 +188,7 @@ class BOTAN_PUBLIC_API(2, 0) EC_PrivateKey : public virtual EC_PublicKey,
       * multiplying the base point with the modular inverse of x (as in ECGDSA
       * and ECKCDSA), otherwise by multiplying directly with x (as in ECDSA).
       */
-      EC_PrivateKey(const EC_Group& group, const EC_Scalar& scalar, bool with_modular_inverse = false);
+      EC_PrivateKey(EC_Group group, EC_Scalar scalar, bool with_modular_inverse = false);
 
       /*
       * Creates a new private key object from the
diff --git a/src/lib/pubkey/eckcdsa/eckcdsa.cpp b/src/lib/pubkey/eckcdsa/eckcdsa.cpp
index 51e30153c75..d424143a7d1 100644
--- a/src/lib/pubkey/eckcdsa/eckcdsa.cpp
+++ b/src/lib/pubkey/eckcdsa/eckcdsa.cpp
@@ -119,9 +119,8 @@ class ECKCDSA_Signature_Operation final : public PK_Ops::Signature {
             m_group(eckcdsa.domain()),
             m_x(eckcdsa._private_key()),
             m_hash(eckcdsa_signature_hash(padding)),
-            m_prefix_used(false) {
-         m_prefix = eckcdsa_prefix(eckcdsa._public_key(), m_hash->hash_block_size());
-      }
+            m_prefix(eckcdsa_prefix(eckcdsa._public_key(), m_hash->hash_block_size())),
+            m_prefix_used(false) {}
 
       void update(std::span<const uint8_t> input) override {
          if(!m_prefix_used) {
@@ -190,17 +189,15 @@ class ECKCDSA_Verification_Operation final : public PK_Ops::Verification {
             m_group(eckcdsa.domain()),
             m_gy_mul(eckcdsa._public_key()),
             m_hash(eckcdsa_signature_hash(padding)),
-            m_prefix_used(false) {
-         m_prefix = eckcdsa_prefix(eckcdsa._public_key(), m_hash->hash_block_size());
-      }
+            m_prefix(eckcdsa_prefix(eckcdsa._public_key(), m_hash->hash_block_size())),
+            m_prefix_used(false) {}
 
       ECKCDSA_Verification_Operation(const ECKCDSA_PublicKey& eckcdsa, const AlgorithmIdentifier& alg_id) :
             m_group(eckcdsa.domain()),
             m_gy_mul(eckcdsa._public_key()),
             m_hash(eckcdsa_signature_hash(alg_id)),
-            m_prefix_used(false) {
-         m_prefix = eckcdsa_prefix(eckcdsa._public_key(), m_hash->hash_block_size());
-      }
+            m_prefix(eckcdsa_prefix(eckcdsa._public_key(), m_hash->hash_block_size())),
+            m_prefix_used(false) {}
 
       void update(std::span<const uint8_t> msg) override;
 
@@ -213,8 +210,8 @@ class ECKCDSA_Verification_Operation final : public PK_Ops::Verification {
 
       const EC_Group m_group;
       const EC_Group::Mul2Table m_gy_mul;
-      std::vector<uint8_t> m_prefix;
       std::unique_ptr<HashFunction> m_hash;
+      std::vector<uint8_t> m_prefix;
       bool m_prefix_used;
 };
 
diff --git a/src/lib/pubkey/gost_3410/gost_3410.cpp b/src/lib/pubkey/gost_3410/gost_3410.cpp
index 5d0d34b3135..1747b321fd3 100644
--- a/src/lib/pubkey/gost_3410/gost_3410.cpp
+++ b/src/lib/pubkey/gost_3410/gost_3410.cpp
@@ -83,7 +83,7 @@ GOST_3410_PublicKey::GOST_3410_PublicKey(const AlgorithmIdentifier& alg_id, std:
    encoding.insert(encoding.end(), bits.rbegin() + part_size, bits.rend());
    encoding.insert(encoding.end(), bits.rbegin(), bits.rend() - part_size);
 
-   m_public_key = std::make_shared<EC_PublicKey_Data>(group, encoding);
+   m_public_key = std::make_shared<EC_PublicKey_Data>(std::move(group), encoding);
 }
 
 GOST_3410_PrivateKey::GOST_3410_PrivateKey(RandomNumberGenerator& rng, const EC_Group& domain, const BigInt& x) :
diff --git a/src/lib/pubkey/sm2/sm2.cpp b/src/lib/pubkey/sm2/sm2.cpp
index 13c481e8229..5b67d85297c 100644
--- a/src/lib/pubkey/sm2/sm2.cpp
+++ b/src/lib/pubkey/sm2/sm2.cpp
@@ -51,9 +51,9 @@ SM2_PrivateKey::SM2_PrivateKey(const AlgorithmIdentifier& alg_id, std::span<cons
       m_da_inv((this->_private_key() + EC_Scalar::one(domain())).invert()),
       m_da_inv_legacy(m_da_inv.to_bigint()) {}
 
-SM2_PrivateKey::SM2_PrivateKey(RandomNumberGenerator& rng, const EC_Group& domain, const BigInt& x) :
-      EC_PrivateKey(rng, domain, x),
-      m_da_inv((this->_private_key() + EC_Scalar::one(domain)).invert()),
+SM2_PrivateKey::SM2_PrivateKey(RandomNumberGenerator& rng, EC_Group group, BigInt x) :
+      EC_PrivateKey(rng, std::move(group), std::move(x)),
+      m_da_inv((this->_private_key() + EC_Scalar::one(domain())).invert()),
       m_da_inv_legacy(m_da_inv.to_bigint()) {}
 
 namespace {
diff --git a/src/lib/pubkey/sm2/sm2.h b/src/lib/pubkey/sm2/sm2.h
index 9cf3733d55f..e8911d197cc 100644
--- a/src/lib/pubkey/sm2/sm2.h
+++ b/src/lib/pubkey/sm2/sm2.h
@@ -82,7 +82,7 @@ class BOTAN_PUBLIC_API(2, 2) SM2_PrivateKey final : public SM2_PublicKey,
       * @param domain parameters to used for this key
       * @param x the private key (if zero, generate a new random key)
       */
-      SM2_PrivateKey(RandomNumberGenerator& rng, const EC_Group& domain, const BigInt& x = BigInt::zero());
+      SM2_PrivateKey(RandomNumberGenerator& rng, EC_Group domain, BigInt x = BigInt::zero());
 
       bool check_key(RandomNumberGenerator& rng, bool) const override;