Integral j-invariants and Cartan structures for elliptic curves

被引：3

作者：

Bilu, Yu. ^{[1
]}

Parent, Pierre ^{[1
]}

机构：

[1] Inst Math Bordeaux, F-33405 Talence, France

来源：

COMPTES RENDUS MATHEMATIQUE | 2008年 / 346卷 / 11-12期

关键词：

D O I：

10.1016/j.crma.2008.04.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We bound the j-invariant of integral points on a modular curve in terms of the congruence group defining the curve. We apply this to prove that, under the GRH, the modular curve X-split(p(5)) has no non-trivial rational point if p is a sufficiently large prime number.

引用

页码：599 / 602

页数：4

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