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math.NT2007★ 1 cited
Explicit Heegner Points: Kolyvagin's Conjecture and Non-trivial Elements in the Shafarevich-Tate Group
Dimitar Jetchev, Kristin Lauter, William Stein
Kolyvagin used Heegner points to associate a system of cohomology classes to an elliptic curve over $\Q$ and conjectured that the system contains a non-trivial class. His conjectur…
math.NT2007★ 8 cited
Global Divisibility of Heegner Points and Tamagawa Numbers
Dimitar P. Jetchev
We improve Kolyvagin's upper bound on the order of the -primary part of the Shafarevich-Tate group of an elliptic curve of rank one over a quadratic imaginary field. In many cas…