paper

Computation on Elliptic Curves with Complex Multiplication

arXiv:1307.6174 · doi:10.1112/S1461157014000072

Abstract

We give the complete list of possible torsion subgroups of elliptic curves with complex multiplication over number fields of degree 1-13. Additionally we describe the algorithm used to compute these torsion subgroups and its implementation.

24 pages, 3 figures, submitted