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add .torsion_basis() method to EllipticCurve_finite_field #34718

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yyyyx4 opened this issue Nov 3, 2022 · 3 comments · Fixed by #34982
Closed

add .torsion_basis() method to EllipticCurve_finite_field #34718

yyyyx4 opened this issue Nov 3, 2022 · 3 comments · Fixed by #34982

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@yyyyx4
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yyyyx4 commented Nov 3, 2022

Computing a basis of a particular m-torsion subgroup is an important subroutine in several algorithms for isogenies and endomorphism rings of elliptic curves over finite fields.

This patch adds a .torsion_basis() method to EllipticCurve_finite_field. Its current implementation is merely a thin wrapper around .abelian_group() and .torsion_subgroup() — the point of this patch is to introduce the interface first so that more optimizations can be incorporated later.

CC: @defeo

Component: elliptic curves

Author: Lorenz Panny

Issue created by migration from https://trac.sagemath.org/ticket/34718

@yyyyx4 yyyyx4 added this to the sage-9.8 milestone Nov 3, 2022
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sagetrac-git mannequin commented Dec 21, 2022

Branch pushed to git repo; I updated commit sha1. This was a forced push. New commits:

f882209add .torsion_basis() method to EllipticCurve_finite_field

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sagetrac-git mannequin commented Dec 21, 2022

Changed commit from e7e40f0 to f882209

@mkoeppe
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mkoeppe commented Feb 12, 2023

Removed branch from the issue description because it has been replaced by PR #34982

@vbraun vbraun closed this as completed in da48f14 Feb 19, 2023
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