A179127 Numbers n for which the order of Tate-Shafarevich group Ш (Sha) of the elliptic curve y^2=x^3+n is 4.

123, 174, 214, 231, 286, 362, 383, 445, 487, 510, 527, 546, 566, 571, 608, 627, 669, 706, 718, 734, 741, 762, 805, 914, 942, 965, 970, 1019, 1042, 1059, 1075, 1131, 1155, 1166, 1189, 1203, 1210, 1230, 1236, 1245, 1287, 1320, 1355, 1392, 1397, 1410, 1411

Offset

1,1

Comments

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

Links

Table of n, a(n) for n=1..47.

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, A002833, A031507.

Sequence in context: A119426 A138059 A302459 * A153254 A360639 A227522

Adjacent sequences: A179124 A179125 A179126 * A179128 A179129 A179130

Keyword

nonn

Author

Artur Jasinski, Jun 30 2010

Extensions

Edited by N. J. A. Sloane, Jul 05 2010

Status

approved