Diophantine triples and construction of high-rank elliptic curves over Q with three nontrivial 2-torsion points

被引：13

作者：

Dujella, A ^{[1
]}

机构：

[1] Univ Zagreb, Dept Math, Zagreb 10000, Croatia

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2000年 / 30卷 / 01期

关键词：

D O I：

10.1216/rmjm/1022008982

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：157 / 164

页数：8

共 47 条

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Fermigier, S
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[2] Construction of high-rank elliptic curves over Q and Q(t) with non-trivial 2-torsion
Fermigier, S.
Lecture Notes in Computer Science, 1122
[3] Construction of high-rank elliptic curves with a nontrivial torsion point
Nagao, K
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[4] Elliptic curves of high rank with nontrivial torsion group over Q
Kulesz, L
Stahlke, C
EXPERIMENTAL MATHEMATICS, 2001, 10 (03) : 475 - 480
[5] The rank of elliptic curves with rational 2-torsion points over large fields
Im, BH
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 134 (06) : 1623 - 1630
[6] Families of elliptic curves of high rank with nontrivial torsion group over Q
Kulesz, L
ACTA ARITHMETICA, 2003, 108 (04) : 339 - 356
[7] High-rank elliptic curves with torsion Z/2Z x Z/4Z induced by Diophantine triples
Dujella, Andrej
Carlos Peral, Juan
LMS JOURNAL OF COMPUTATION AND MATHEMATICS, 2014, 17 (01): : 282 - 288
[8] On the Isomorphism Classes of Elliptic Curves with 2-Torsion Points
Wu, Hongfeng
Feng, Rongquan
NETWORK COMPUTING AND INFORMATION SECURITY, 2012, 345 : 1 - +
[9] HIGH RANK ELLIPTIC CURVES INDUCED BY RATIONAL DIOPHANTINE TRIPLES
Dujella, Andrej
Carlos Peral, Juan
GLASNIK MATEMATICKI, 2020, 55 (02) : 237 - 252
[10] Construction of high rank elliptic curves over Q(t) and Q with non-trivial 2-torsion.
Fermigier, S
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1996, 322 (10): : 949 - 952

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