Computation on Elliptic Curves with Complex Multiplication
Number Theory
2019-02-20 v2
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.
Cite
@article{arxiv.1307.6174,
title = {Computation on Elliptic Curves with Complex Multiplication},
author = {Pete L. Clark and Patrick Corn and Alex Rice and James Stankewicz},
journal= {arXiv preprint arXiv:1307.6174},
year = {2019}
}
Comments
24 pages, 3 figures, submitted