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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

%I

%S 4,9,16,25,36,49,81,100,121,144,169,196,225,256,289,324,361,400,441,

%T 484,529,576,625,676,784,841,900,961,1024,1089,1156,1225,1296,1369,

%U 1444,1521,1600,1681,1764,1849,1936,2025,2116,2209,2304,2401,2500,2601,2704

%N Positive integers n for which the torsion subgroup of the elliptic curve y^2 = x^3 + n has order 3.

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

%H J. Gebel, <a href="/A001014/a001014.txt">Integer points on Mordell curves</a> [Cached copy, after the original web site tnt.math.se.tmu.ac.jp was shut down in 2017]

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

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

%K nonn

%O 1,1

%A _Artur Jasinski_, Jun 30 2010

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Last modified July 21 17:20 EDT 2019. Contains 325198 sequences. (Running on oeis4.)