A REMARK ON THE INJECTIVITY OF THE SPECIALIZATION HOMOMORPHISM

被引：14
|
作者：
Gusic, Ivica [1 ]
Tadic, Petra [2 ]
机构：
[1] Univ Zagreb, Fac Chem Engin & Techn, Zagreb 10000, Croatia
[2] Univ Zagreb, Geotech Fac, Varazhdin 42000, Croatia
来源：
GLASNIK MATEMATICKI | 2012年 / 47卷 / 02期
关键词：
Elliptic curve; specialization homomorphism; rank; generators; ELLIPTIC-CURVES; TWISTS;
D O I：
10.3336/gm.47.2.03
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let E : y(2) = (x - e(1))(x - e(2))(x - e(3)), be a nonconstant elliptic curve over Q(T). We give sufficient conditions for a specialization homomorphism to be injective, based on the unique factorization in Z[T] and Z. The result is applied for calculating exactly the Mordell-Weil group of several elliptic curves over Q(T) coming from a paper by Rubin and Silverberg.
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页码：265 / 275
页数：11
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