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.
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页码：52 / 78
页数：27
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