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.
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页码：81 / 82
页数：2
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