engleski

On the injectivity of the specialization homomorphism

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. We present an application of this result for calculating exactly the Mordell- Weil group of several elliptic curves over Q(T) coming from a paper by Rubin and Silverberg. M

elliptic curve; specialization homomorphism; rank; generators.

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