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add .torsion_basis() method to EllipticCurve_finite_field #34718
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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 toEllipticCurve_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
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