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

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

1,1

Comments

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

Links

Table of n, a(n) for n=1..42.

J. Gebel, Integer points on Mordell curves [Cached copy]

Crossrefs

Cf. A002151, A002153, A002155, A002833, A031507, A179127 (#Sha=4), A179128 (#Sha=5), A179130.

Sequence in context: A262636 A238753 A157431 * A176598 A146075 A374270

Adjacent sequences: A179126 A179127 A179128 * A179130 A179131 A179132

Keyword

nonn

Author

Artur Jasinski, Jun 30 2010

Status

approved