Construction of elliptic curves with cyclic groups over prime fields

被引：0

作者：

Nakazawa, N ^{[1
]}

机构：

[1] Osaka Prefecture Univ, Grad Sch Sci, Osaka 5998531, Japan

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2006年 / 73卷 / 02期

关键词：

D O I：

10.1017/S000497270003882X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this article is to construct families of elliptic curves E over finite fields F so that the groups of F-rational points of E are cyclic, by using a representation of the modular invariant function by a generator of a modular function field associated with the modular group Gamma(o)(N), where N = 5, 7 or 13.

引用

页码：245 / 254

页数：10

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