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Mar 14, 2018 at 16:00 comment added Will Sawin Why do we know the average of $r_p(S_p(E))$? I thought that Bhargava-Shankar computed the average size of the $p$-Selmer group, not the average rank.
Mar 14, 2018 at 10:31 history edited Stanley Yao Xiao CC BY-SA 3.0
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Mar 14, 2018 at 10:26 comment added Stanley Yao Xiao @DanielLoughran you are right, meant to say 'trivial' of course
Mar 14, 2018 at 10:26 history edited Stanley Yao Xiao CC BY-SA 3.0
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Mar 14, 2018 at 8:33 comment added Daniel Loughran $E(\mathbb{Q})[p]$ is never empty
Mar 14, 2018 at 1:54 comment added user92332 Knowing finiteness of the $\ell$-primary torsion of Sha tells you the Mordell-Weil rank equals the corank of the Selmer group. Does this help at all? In his BSD paper Bhargava averages on sets of elliptic curves that are assumed to have finite Sha.
Mar 14, 2018 at 1:52 vote accept CommunityBot
Mar 14, 2018 at 19:22
Mar 14, 2018 at 0:39 history edited Stanley Yao Xiao CC BY-SA 3.0
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Mar 14, 2018 at 0:22 history answered Stanley Yao Xiao CC BY-SA 3.0