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

共 50 条

[21] Asymptotic growth of Mordell-Weil ranks of elliptic curves in noncommutative towers
Ray, Anwesh
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2022,
[22] On the torsion of the Mordell-Weil group of the Jacobian of Drinfeld modular curves
Pál, A
DOCUMENTA MATHEMATICA, 2005, 10 : 131 - 198
[23] Selmer groups and Mordell-Weil groups of two types of elliptic curves
邱德荣
张贤科
ProgressinNaturalScience, 2000, (12) : 68 - 71
[24] Mordell-Weil ranks of families of elliptic curves associated to Pythagorean triples
Naskrecki, Bartosz
ACTA ARITHMETICA, 2013, 160 (02) : 159 - 183
[25] Selmer groups and Mordell-Weil groups of two types of elliptic curves
Qiu, DR
Zhang, XK
PROGRESS IN NATURAL SCIENCE-MATERIALS INTERNATIONAL, 2000, 10 (12) : 946 - 949
[26] On the existence of elliptic curves of Mordell-Weil rank 6 with four parameters
Yamagishi, H
JOURNAL OF ALGEBRA, 1996, 181 (02) : 558 - 564
[27] QUADRATIC POINTS ON MODULAR CURVES WITH INFINITE MORDELL-WEIL GROUP
Box, Josha
MATHEMATICS OF COMPUTATION, 2021, 90 (327) : 321 - 343
[28] Selmer groups and Mordell-Weil groups of two types of elliptic curves
Qiu, Derong
Zhang, Xianke
Progress in Natural Science, 2000, 10 (12) : 948 - 949
[29] A unified method of construction of elliptic curves with high Mordell-Weil rank
Yamagishi, H
PACIFIC JOURNAL OF MATHEMATICS, 1999, 191 (01) : 189 - 200
[30] Bounds of the rank of the Mordell-Weil group of Jacobians of Hyperelliptic Curves
Daniels, Harris B.
Lozano-Robledo, Alvaro
Wallace, Erik
JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX, 2020, 32 (01): : 231 - 258

← 1 2 3 4 5 →