A graphical approach to computing Selmer groups of congruent number curves

被引：7

作者：

Faulkner, Bryan ^{[1
]}

James, Kevin ^{[1
]}

机构：

[1] Clemson Univ, Dept Math Sci, Clemson, SC 29634 USA

来源：

RAMANUJAN JOURNAL | 2007年 / 14卷 / 01期

关键词：

elliptic curves; Selmer groups; congruent number;

D O I：

10.1007/s11139-006-9008-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let E (n):y(2) = x(3)-n(2)x denote the family of congruent number elliptic curves. Feng and Xiong (2004) equate the nontriviality of the Selmer groups associated with E-n to the presence of certain types of partitions of graphs associated with the prime factorization of n. In this paper, we extend the ideas of Feng and Xiong in order to compute the Selmer groups of E-n.

引用

页码：107 / 129

页数：23

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