On the Ranks of the 2-Selmer Groups of Twists of a Given Elliptic Curve

Details On the Ranks of the 2-Selmer Groups of Twists of a Given Elliptic Curve On the Ranks of the 2-Selmer Groups of Twists of a Given Elliptic Curve

2010-09-07

arxiv.org/abs/1009.1365v2

Mathematics

Number Theory

Scientific paper

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.

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