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A179126 Positive integers n for which the torsion subgroup of the elliptic curve y^2 = x^3 + n has order 3. 1
4, 9, 16, 25, 36, 49, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400, 441, 484, 529, 576, 625, 676, 784, 841, 900, 961, 1024, 1089, 1156, 1225, 1296, 1369, 1444, 1521, 1600, 1681, 1764, 1849, 1936, 2025, 2116, 2209, 2304, 2401, 2500, 2601, 2704 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Apparently equal to the set of integers (A004709(k))^2, k>=2.

LINKS

Table of n, a(n) for n=1..49.

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]

PROG

(Sage) is_A179126 = lambda n: EllipticCurve([0, n]).torsion_order() == 3  # [D. S. McNeil, Jan 04 2011]

CROSSREFS

Cf. A002151, A002153, A002155, A002833, A031507, A228532.

Sequence in context: A080160 A110723 A084617 * A068879 A030152 A030288

Adjacent sequences:  A179123 A179124 A179125 * A179127 A179128 A179129

KEYWORD

nonn

AUTHOR

Artur Jasinski, Jun 30 2010

STATUS

approved

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Last modified June 18 14:52 EDT 2019. Contains 324213 sequences. (Running on oeis4.)