We plan to discuss numerical results and conjectures concerning orders of Tate-Shafarevich groups in
families of quadratic twists of elliptic curves, families of elliptic curves of Neumann-Setzer type and
families of cubic twists of X_0(27). We will give examples of elliptic curves with exceptionally large
orders of Tate-Shafarevich groups. We also calculate hypothetical orders of Tate-Shafarevich groups
for some quadratic twists of Gross curves. This is a joint work with Tomasz Jedrzejak and Lucjan
Szymaszkiewicz.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/node/246