On the rank of elliptic curves over Q(√-3) with torsion groups Z/3Z x Z/3Z and Z/3Z x Z/6Z

被引：6

作者：

Bokun, Mirela Jukic ^{[1
]}

机构：

[1] Univ Osijek, Dept Math, Trg Ljudevita Gaja 6, Osijek 31000, Croatia

来源：

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 2011年 / 87卷 / 05期

关键词：

Elliptic curve; torsion group; rank; POINTS;

D O I：

10.3792/pjaa.87.61

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct elliptic curves over the field Q(root-3) with torsion group Z/3Z x Z/3Z and ranks equal to 7 and an elliptic curve over the same field with torsion group Z/3Z x Z/6Z and rank equal to 6.

引用

页码：61 / 64

页数：4

共 31 条

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[8] Elliptic curves with torsion groups Z/8Z\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${ \mathbb {Z}}/ 8 {\mathbb {Z} } $$\end{document} and Z/2Z×Z/6Z\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${ \mathbb {Z}}/ 2 {\mathbb {Z}} \times {\mathbb {Z}}/ 6 {\mathbb {Z}}$$\end{document}
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