Torsion of Elliptic Curves Over Real Quadratic Fields of Smallest Discriminant

被引：0

作者：

Sarma, Naba Kanta ^{[1
]}

机构：

[1] Assam Univ, Dept Math, Cachar 788011, Assam, India

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2019年 / 50卷 / 01期

关键词：

Elliptic curve; Torsion subgroup; cusp; discriminant; POINTS;

D O I：

10.1007/s13226-019-0314-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In [9] and [10], Filip Najman examined the torsion of elliptic curves over the number fields (-1) and (-3). In this paper, we study the torsion structures of elliptic curves over the real quadratic number fields (2) and (5), which have the smallest discriminants among all real quadratic fields (d) with d ? 1 mod 4 and d 1 mod 4 respectively.

引用

页码：161 / 169

页数：9

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