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.
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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0
Offset: 1
References
- Dale Husemoller, Elliptic Curves, Graduate Texts in Mathematics 111, Springer-Verlag, 2004, pp. 35-37.
Links
- 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]
- Wikipedia, Torsion subgroup