Families of elliptic curves with trivial Mordell-Weil group

被引：2

作者：

Dabrowski, A ^{[1
]}

Wieczorek, M ^{[1
]}

机构：

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

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2000年 / 62卷 / 02期

关键词：

D O I：

10.1017/S0004972700018773

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Fix an elliptic curve y(2) = x(3) + Ax + B, satisfying A, B is an element of Z, A greater than or equal to \B\ > 0. We prove that the associated quadratic family contains infinitely many elliptic curves with trivial Mordell-Weil group.

引用

页码：303 / 306

页数：4

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