Title:
Cassels-Tate Pairing for curves of the form y^2=x^l + A
Abstract:
I will briefly outline the definition of the Cassels-Tate pairing and explicitly compute it for \lambda := 1-\zeta_l isogeny on the Jacobians of the curves of the form y^2 = x^l + A, for an odd prime l and a non-zero integer A. The explicit F_l rank of \lambda-Selmer group has been computed by Michael Stoll before under some assumptions.