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A remark on the injectivity of the specialization homomorphism (CROSBI ID 182325)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Gusić, Ivica ; Tadić, Petra
A remark on the injectivity of the specialization homomorphism // Glasnik matematički, 47 (2012), 2; 265-275. doi: 10.3336/gm.47.2.03
Podaci o odgovornosti
Gusić, Ivica ; Tadić, Petra
engleski
A remark on the injectivity of the specialization homomorphism
Let E : y^2 = (x - e1)(x - e2)(x - e3) be a nonconstant elliptic curve over Q(T). We give sucient 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.
elliptic curve; specialization homomorphism; rank; generators
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