Computation on elliptic curves with complex multiplication

被引：27

作者：

Clark, Pete L. ^{[1
]}

Corn, Patrick ^{[2
]}

Rice, Alex ^{[3
]}

Stankewicz, James ^{[4
]}

机构：

[1] Univ Georgia, Athens, GA 30602 USA

[2] Virtu Financial, Austin, TX 78746 USA

[3] Bucknell Univ, Lewisburg, PA 17837 USA

[4] Univ Copenhagen, DK-2100 Copenhagen, Denmark

来源：

LMS JOURNAL OF COMPUTATION AND MATHEMATICS | 2014年 / 17卷 / 01期

关键词：

INTEGRAL J-INVARIANT; TORSION POINTS; BOUNDS;

D O I：

10.1112/S1461157014000072

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：509 / 535

页数：27

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