Computation on elliptic curves with complex multiplication-Reference-Cited by-同舟云学术

Computation on elliptic curves with complex multiplication

Published:2014 Issue:1 Volume:17 Page:509-535
ISSN:1461-1570
Container-title:LMS Journal of Computation and Mathematics
language:en
Short-container-title:LMS J. Comput. Math.

Author:

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

Abstract

AbstractWe 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.

Publisher

Wiley

Subject

Computational Theory and Mathematics,General Mathematics

Reference26 articles.

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2. Torsion points on elliptic curves defined over quadratic fields

3. Advanced Topics in the Arithmetic of Elliptic Curves

4. Points of finite order on elliptic curves with complex multiplication

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