On the rank of the elliptic curves with a rational point of order 6

被引：1

作者：

Kihara, Shoichi ^{[1
]}

机构：

[1] Univ Tokushima, Sch Med, Dept Neuropsychiat, Tokushima 7708503, Japan

来源：

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 2006年 / 82卷 / 07期

关键词：

elliptic curves; rank;

D O I：

10.3792/pjaa.82.81

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct an infinite family of elliptic curves of rank at least 4 over Q with a rational point of order 6, which is parametrized by the rational points of an elliptic curve of rank at least 1.

引用

页码：81 / 82

页数：2

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