Elliptic curves over the rationals with good reduction outside two odd primes

被引：2

作者：

Dabrowski, Andrzej ^{[1
]}

Jedrzejak, Tomasz ^{[1
]}

机构：

[1] Univ Szczecin, Inst Math, PL-70451 Szczecin, Poland

来源：

JOURNAL OF NUMBER THEORY | 2019年 / 202卷

关键词：

Elliptic curve; Rational point; Diophantine equation; Class number; CONDUCTOR; EQUATIONS;

D O I：

10.1016/j.jnt.2019.01.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We classify elliptic curves over Q with a rational point of order 2 or >= 4 and good reduction outside two odd primes. We also exhibit some families of elliptic curves with a rational point of order 3, collect some general existence/non-existence results, and present some information concerning upper bounds for the rank. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：254 / 277

页数：24

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