EQUATIONS FOR THE MODULAR CURVE X1(N) AND MODELS OF ELLIPTIC CURVES WITH TORSION POINTS

被引：18

作者：

Baaziz, Houria ^{[1
]}

机构：

[1] USTHB Fac Math, Algiers 16111, Algeria

来源：

MATHEMATICS OF COMPUTATION | 2010年 / 79卷 / 272期

关键词：

Modular curves; elliptic curves; torsion points; FIELDS; FAMILY;

D O I：

10.1090/S0025-5718-10-02332-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe an algorithm for constructing plane models of the modular curve X-1(N) and discuss the resulting equations when N <= 51.

引用

页码：2371 / 2386

页数：16

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