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Timeline for Rank of Elliptic Curves

Current License: CC BY-SA 3.0

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Aug 5, 2014 at 23:58 vote accept user56793
Aug 5, 2014 at 23:55 comment added user9072 on math.SE math.stackexchange.com/questions/887471/rank-of-elliptic-curves (but I guess it might make sense to keep it here).
Aug 5, 2014 at 23:27 comment added NAME_IN_CAPS You want Heath-Brown's paper. The size of Selmer groups for the congruent number problem, II. Inv. Math. 118, no. 1 (1994), 331–370. dx.doi.org/10.1007/BF01231536 which in fact computes the distribution of the 2-Selmer group size for this congruent number curve quadratic twist family.
Aug 5, 2014 at 22:52 comment added Chris Wuthrich Probably you mean "size" of the 2-Selmer group or "dimension" as $\mathbb{F}_2$-vector space, not "rank" since it is finite. The corank of the 2-primary Selmer group is equal to the rank of the curve unless Sha is infinite.
Aug 5, 2014 at 22:49 answer added Chris Wuthrich timeline score: 12
Aug 5, 2014 at 22:12 history edited GH from MO
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Aug 5, 2014 at 22:09 review First posts
Aug 5, 2014 at 22:16
Aug 5, 2014 at 22:08 history asked user56793 CC BY-SA 3.0