On the ranks of the 2-Selmer groups of twists of a given elliptic curve

By Daniel M. Kane. 2010

64 citations recorded by the source corpus.

We extend work of Swinnerton-Dyer on the density of the number of twists of a given elliptic curve that have 2-Selmer group of a particular rank.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/568705e2c16472dac588fe018d35a20e92012881