Detecting complex multiplication
Number Theory
2020-02-28 v1 Algebraic Geometry
Abstract
We give an efficient, deterministic algorithm to decide if two abelian varieties over a number field are isogenous. From this, we derive an algorithm to compute the endomorphism ring of an elliptic curve over a number field.
Cite
@article{arxiv.math/0602115,
title = {Detecting complex multiplication},
author = {Jeff Achter},
journal= {arXiv preprint arXiv:math/0602115},
year = {2020}
}