Distribution of Selmer Groups of Quadratic Twists of a Family of Elliptic Curves
As an most interesting example for the elliptic curve E n : y2 = x 3 - n2x, which is closely related with the congruent number problem, we study the distribution of the size of the six Selmer groups arising from the three 2-isogenies and their dual 2-isogenies. We also describe explicit formulas on the size of the six Selmer groups.
University of Illinois - Urbana-Champaign
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University of Illinois at Urbana-Champaign