COMPUTATION ON ELLIPTIC CURVES WITH COMPLEX MULTIPLICATION

Q1 Mathematics

Lms Journal of Computation and Mathematics Pub Date : 2013-07-23 DOI:10.1112/S1461157014000072

P. L. Clark, Patrick Corn, Alex Rice, James Stankewicz

引用次数: 30

Abstract

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

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椭圆曲线复乘法的计算

给出了1-13次复乘椭圆曲线的可能扭转子群的完整列表。此外，我们还描述了用于计算这些扭转子群的算法及其实现。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Lms Journal of Computation and Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： LMS Journal of Computation and Mathematics has ceased publication. Its final volume is Volume 20 (2017). LMS Journal of Computation and Mathematics is an electronic-only resource that comprises papers on the computational aspects of mathematics, mathematical aspects of computation, and papers in mathematics which benefit from having been published electronically. The journal is refereed to the same high standard as the established LMS journals, and carries a commitment from the LMS to keep it archived into the indefinite future. Access is free until further notice.