Constructing non-trivial elements of the Shafarevich-Tate group of an Abelian Variety over a Number Field

Amod Agashe, Saikat Biswas

The second part of the Birch and Swinnerton-Dyer (BSD) conjecture gives a conjectural formula for the order of the Shafarevich-Tate group of an elliptic curve in terms of other com…