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Detecting complex multiplication
2005
Computational Aspects of Algebraic Curves
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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.
doi:10.1142/9789812701640_0003
fatcat:guvuq35k3bfmnpn2sfkewcpfv4