Detecting complex multiplication

Details Detecting complex multiplication Detecting complex multiplication

2006-02-07

arxiv.org/abs/math/0602115v1

Computational Aspects of Algebraic Curves, Lecture Notes in Computing 13, World Scientific, 2005

Mathematics

Number Theory

Scientific paper

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.

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