A179128 -id:A179128 - cp's OEIS frontend

A179130 Parameters k for which the Tate-Shafarevich group Ш of the elliptic curve y^2=x^3+k has order 16.

Original entry on oeis.org

3686, 4010, 4631, 4694, 5730, 6395, 6467, 6493, 7221, 7683, 8222, 8726, 8950, 9237, 9762, 9951, 9965

Offset: 1

Artur Jasinski, Jun 30 2010

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

J. Gebel, Integer points on Mordell curves [Cached copy, after the original web site tnt.math.se.tmu.ac.jp was shut down in 2017]

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

A179129 Numbers k for which order of Tate-Shafarevich group Ш of the elliptic curve y^2=x^3+k is 9.

Original entry on oeis.org

410, 790, 851, 1294, 1383, 1546, 1635, 1735, 1866, 2139, 2167, 2230, 2363, 2419, 2685, 2743, 2757, 2867, 2958, 3021, 3028, 3119, 3355, 3422, 3490, 3630, 3719, 3903, 3962, 4199, 4365, 4421, 4498, 4722, 4731, 4765, 4927, 4954, 4974, 5011, 5018, 5109

Offset: 1

Artur Jasinski, Jun 30 2010

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

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

J. Gebel, Integer points on Mordell curves [Cached copy, after the original web site tnt.math.se.tmu.ac.jp was shut down in 2017]

Cf. A002151, A002153, A002155, A002833, A031507, A179127, A179128, A179130.

cp's OEIS Frontend

A179130 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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