Elliptic curves of high rank with nontrivial torsion group over Q

被引：5

作者：

Kulesz, L

Stahlke, C

机构：

[1] Univ Paris 07, UFR Math, F-75251 Paris, France

[2] Univ Bonn, Math Inst, D-53115 Bonn, Germany

来源：

EXPERIMENTAL MATHEMATICS | 2001年 / 10卷 / 03期

关键词：

D O I：

10.1080/10586458.2001.10504464

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct elliptic curves over Q of high Mordell-Weil rank, with a nontrivial torsion subgroup. We improve the rank records for the cases Z/2Z x Z/2Z, Z/3Z, Z/4Z, Z/5Z, Z/6Z, Z/7Z and Z/8Z.

引用

页码：475 / 480

页数：6

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