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A228532 a(n) = order of the torsion subgroup of the elliptic curve y^2 = x^3 + n if n is a sixth-power-free integer, otherwise -1.

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%I A228532 #14 Aug 24 2022 23:12:27
%S A228532 6,0,0,3,0,0,0,2,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,3,0,2,0,0,0,0,0,0,0,
%T A228532 0,3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,
%U A228532 0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0
%N A228532 a(n) = order of the torsion subgroup of the elliptic curve y^2 = x^3 + n if n is a sixth-power-free integer, otherwise -1.
%D A228532 Dale Husemoller, Elliptic Curves, Graduate Texts in Mathematics 111, Springer-Verlag, 2004, pp. 35-37.
%H A228532 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]
%H A228532 Wikipedia, <a href="http://en.wikipedia.org/wiki/Torsion_subgroup">Torsion subgroup</a>
%F A228532 a(A062838(n)) = 2 for n > 1.
%F A228532 a(A179126(n)) = 3.
%Y A228532 Cf. A000290, A062838, A179126.
%K A228532 easy,sign
%O A228532 1,1
%A A228532 _Arkadiusz Wesolowski_, Aug 24 2013