A REMARK ON THE INJECTIVITY OF THE SPECIALIZATION HOMOMORPHISM

作者：Gusic Ivica^*; Tadic Petra

来源：Glasnik Matematicki, 2012, 47(2): 265-275.

DOI：10.3336/gm.47.2.03

• Elliptic curve
• specialization homomorphism
• rank
• generators

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. %26lt;br%26gt;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.

• 出版日期2012