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Numbers k for which order of Tate-Shafarevich group Ш of the elliptic curve y^2=x^3+k is 9.
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%I #10 Apr 12 2019 07:28:22

%S 410,790,851,1294,1383,1546,1635,1735,1866,2139,2167,2230,2363,2419,

%T 2685,2743,2757,2867,2958,3021,3028,3119,3355,3422,3490,3630,3719,

%U 3903,3962,4199,4365,4421,4498,4722,4731,4765,4927,4954,4974,5011,5018,5109

%N Numbers k for which order of Tate-Shafarevich group Ш of the elliptic curve y^2=x^3+k is 9.

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

%C For #Ш=4 see A179127. For #Ш=5 see A179128.

%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, A002833, A031507, A179127, A179128, A179130.

%K nonn,uned

%O 1,1

%A _Artur Jasinski_, Jun 30 2010