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Computation on Elliptic Curves with Complex Multiplication

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arxiv 1307.6174 v2 pith:JQQ4VZ4M submitted 2013-07-23 math.NT

Pete L. Clark , Patrick Corn , Alex Rice , James Stankewicz This is my paper · ORCID
classification math.NT
keywords complexcurvesellipticmultiplicationsubgroupstorsionadditionallyalgorithm
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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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