The Selmer Groups of Elliptic Curves

被引：0

作者：

Fu Zheng Wang

机构：

[1] Peking University,Department of Mathematics

来源：

Acta Mathematica Sinica | 2003年 / 19卷

关键词：

Elliptic curve; Selmer group; -ideal class group; 11G05; 11R29; 11R58;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let E / K be an elliptic curve with K-rational p-torsion points. The p-Selmer group of E is described by the image of a map λK and hence an upper bound of its order is given in terms of the class numbers of the S-ideal class group of K and the p-division field of E.

引用

页码：89 / 96

页数：7