Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Andrzej Dabrowski
Affiliation:

University of Szczecin
Date:

Wed, 2019-05-22 14:30 - 15:30 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