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Average size of -Selmer groups of elliptic curves, I
Authors:Gang Yu
Institution:Department of Mathematics, LeConte College, 1523 Greene Street, University of South Carolina, Columbia, South Carolina 29208
Abstract:In this paper, we study a class of elliptic curves over $ \mathbb{Q}$ with $ \mathbb{Q}$-torsion group $ {\mathbb{Z}}_{2}\times\mathbb{Z}_{2}$, and prove that the average order of the $ 2$-Selmer groups is bounded.

Keywords:Elliptic curves  $2$-descent procedure  character sums
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