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arXiv · 1307.6174

Computation on Elliptic Curves with Complex Multiplication

Pete L. Clark·Patrick Corn·Alex Rice·James Stankewicz
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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.

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Pete L. Clark, Patrick Corn, Alex Rice, James Stankewicz. 2013-07-23. Computation on Elliptic Curves with Complex Multiplication. https://doi.org/10.1112/s1461157014000072

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