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Parameters k for which the Tate-Shafarevich group Ш of the elliptic curve y^2=x^3+k has order 16.
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%I #16 Apr 12 2019 07:28:51

%S 3686,4010,4631,4694,5730,6395,6467,6493,7221,7683,8222,8726,8950,

%T 9237,9762,9951,9965

%N Parameters k for which the Tate-Shafarevich group Ш of the elliptic curve y^2=x^3+k has order 16.

%C For parameters k<123, the order of the Tate-Shafarevich group Ш of the elliptic curve y^2=x^3+k is 1.

%H J. Gebel, <a href="/A001014/a001014.txt">Integer points on Mordell curves</a> [Cached copy, after the original web site tnt.math.se.tmu.ac.jp was shut down in 2017]

%Y Cf. A002151, A002153, A002155, A031507, A179127 (order 4), A179128 (order 5), A179129 (order 9), A179138-A179144.

%K nonn,more

%O 1,1

%A _Artur Jasinski_, Jun 30 2010