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add .twists() to EllipticCurve_finite_field #34981

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merged 13 commits into from
Feb 24, 2023
Merged

add .twists() to EllipticCurve_finite_field #34981

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0a9fa05
typo
yyyyx4 Nov 24, 2022
b7f3e8f
add .twists() method for elliptic curves over finite fields
yyyyx4 Nov 24, 2022
93e94da
add another example for .twists()
yyyyx4 Nov 24, 2022
213db2e
typo
yyyyx4 Nov 24, 2022
f9ccb56
add .twists() method for elliptic curves over finite fields
yyyyx4 Nov 24, 2022
cca497e
add another example for .twists()
yyyyx4 Nov 24, 2022
cbcba7f
added twists for elliptic curves in characteristics 2 and 3
JohnCremona Feb 14, 2023
db74595
Merge tag '9.8' into public/elliptic_curve_twists
yyyyx4 Feb 15, 2023
c1cff9f
Merge remote-tracking branch 'cremona/ecff-twists' into public/ellipt…
yyyyx4 Feb 15, 2023
436abd8
make doctests deterministic
yyyyx4 Feb 16, 2023
20c7920
fix docstring markup
yyyyx4 Feb 16, 2023
fd8331c
add author name
yyyyx4 Feb 16, 2023
f99dc67
fix LaTeX macro in docstrings
yyyyx4 Feb 16, 2023
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5 changes: 5 additions & 0 deletions src/doc/en/reference/references/index.rst
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Expand Up @@ -1790,6 +1790,11 @@ REFERENCES:
*Tracking p-adic precision*,
LMS J. Comput. Math. **17** (2014), 274-294.

.. [Connell1999] Ian Connell.
*Elliptic Curve Handbook*.
Online lecture notes, available at
https://git.hackade.org/ben/tinycrypt/raw/branch/master/docs/Elliptic%20Curve%20Handbook.pdf

.. [CS1986] \J. Conway and N. Sloane. *Lexicographic codes:
error-correcting codes from game theory*, IEEE
Trans. Infor. Theory **32** (1986) 337-348.
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6 changes: 3 additions & 3 deletions src/sage/schemes/elliptic_curves/ell_field.py
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Expand Up @@ -232,7 +232,7 @@ def quartic_twist(self, D):

INPUT:

- ``D`` (must be nonzero) -- the twisting parameter..
- ``D`` (must be nonzero) -- the twisting parameter

.. NOTE::

Expand Down Expand Up @@ -271,11 +271,11 @@ def quartic_twist(self, D):

def sextic_twist(self, D):
r"""
Return the quartic twist of this curve by `D`.
Return the sextic twist of this curve by `D`.

INPUT:

- ``D`` (must be nonzero) -- the twisting parameter..
- ``D`` (must be nonzero) -- the twisting parameter

.. NOTE::

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