a1 Department of Mathematics, University of California at Berkeley, Berkeley, CA 94720, USA (email: firstname.lastname@example.org)
We improve Kolyvagin’s upper bound on the order of the p-primary part of the Shafarevich–Tate group of an elliptic curve of rank one over a quadratic imaginary field. In many cases, our bound is precisely that predicted by the Birch and Swinnerton-Dyer conjectural formula.
(Received September 18 2007)
(Accepted January 09 2008)
2000 Mathematics subject classification
In memory of my father and my grandfather