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Global divisibility of Heegner points and Tamagawa numbers

Published online by Cambridge University Press:  01 July 2008

Dimitar Jetchev*
Department of Mathematics, University of California at Berkeley, Berkeley, CA 94720, USA (email:
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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.

MSC classification

Research Article
Copyright © Foundation Compositio Mathematica 2008