Average size of the 2-Selmer group of Jacobians of monic even hyperelliptic curves
Average size of the 2-Selmer group of Jacobians of monic even hyperelliptic curves
In [5], Manjul Bhargava and Benedict Gross considered the family of hyperelliptic curves over Q having a fixed genus and a marked rational Weierstrass point. They showed that the average size of the 2-Selmer group of the Jacobians of these curves, when ordered by height, is 3. In this paper, …