The Steinitz class of the Mordell-Weil group of some CM elliptic curves

被引：2

作者：

Dummit, DS ^{[1
]}

Miller, WL ^{[1
]}

机构：

[1] UNIV VERMONT,DEPT MATH & STAT,BURLINGTON,VT 05401

来源：

JOURNAL OF NUMBER THEORY | 1996年 / 56卷 / 01期

关键词：

D O I：

10.1006/jnth.1996.0005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Explicit complex multiplications for some elliptic curves with CM by O = Z[root-10] are given and used to determine the O-module structure of the Mordell-Weil groups of the curve over Q(root-10, root 5). The Steinitz class of these modules is determined and in particular shown not to be an isogeny invariant. (C) 1996 Academic Press, Inc.

引用

页码：52 / 78

页数：27

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