An elliptic curve having large integral points

被引：9

作者：

He, Yanfeng ^{[1
,2
]}

Zhang, Wenpeng ^{[1
]}

机构：

[1] NW Univ Xian, Dept Math, Xian 710069, Shaanxi, Peoples R China

[2] Yanan Univ, Coll Math & Comp Sci, Yanan 716000, Shaanxi, Peoples R China

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2010年 / 60卷 / 04期

关键词：

elliptic curve; integral point; Diophantine equation; DIOPHANTINE EQUATIONS;

D O I：

10.1007/s10587-010-0075-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main purpose of this paper is to prove that the elliptic curve E: y (2) = x (3) + 27x - 62 has only the integral points (x, y) = (2, 0) and (28844402, +/- 154914585540), using elementary number theory methods and some known results on quadratic and quartic Diophantine equations.

引用

页码：1101 / 1107

页数：7

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