Computing the rank of elliptic curves over real quadratic number fields of class number 1

被引：4
作者：
Cremona, JE
Serf, P
机构：
[1] Univ Exeter, Dept Math, Exeter EX4 4QE, Devon, England
[2] Univ Saarland, Fachbereich Math 9, D-66041 Saarbrucken, Germany
来源：
MATHEMATICS OF COMPUTATION | 1999年 / 68卷 / 227期
关键词：
elliptic curves; Mordell-Weil; real quadratic fields;
D O I：
10.1090/S0025-5718-99-01055-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we describe an algorithm for computing the rank of an elliptic curve defined over a red quadratic field of class number one. This algorithm extends the one originally described by Birch and Swinnerton-Dyer for curves over Q. Several examples are included.
引用
收藏
页码：1187 / 1200
页数：14
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