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

JOURNAL OF NUMBER THEORY

卷:202

Article

Dabrowski, Andrzej¹  Jedrzejak, Tomasz¹ 

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

关键词: Elliptic curve;    Rational point;    Diophantine equation;    Class number;   

DOI  :  10.1016/j.jnt.2019.01.007

来源: Elsevier

【 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.

【 授权许可】

Free