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.
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页码：303 / 306
页数：4
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