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A remark on the injectivity of the specialization homomorphism

Ivica Gusić ; Faculty of Chemical Engin. and Techn., University of Zagreb, Marulićev trg 19, 10000 Zagreb, Croatia
Petra Tadić ; Geotechnical faculty, University of Zagreb, Hallerova aleja 7, 42000 Varaždin, Croatia

Puni tekst: engleski pdf 129 Kb

str. 265-275

preuzimanja: 249



Let E:y2=(x-e1)(x-e2)(x-e3), 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.

Ključne riječi

Elliptic curve, specialization homomorphism, rank, generators

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Posjeta: 474 *