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

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

Offset

1,1

Comments

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

Links

Table of n, a(n) for n=1..17.

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]

Crossrefs

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

Sequence in context: A250875 A252311 A263814 * A234486 A097500 A186198

Adjacent sequences: A179127 A179128 A179129 * A179131 A179132 A179133

Keyword

nonn,more

Author

Artur Jasinski, Jun 30 2010

Status

approved