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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. 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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
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
FORMULA
a(A062838(n)) = 2 for n > 1.
a(A179126(n)) = 3.
CROSSREFS
Sequence in context: A337885 A333204 A186978 * A019956 A212720 A114760
KEYWORD
easy,sign
AUTHOR
STATUS
approved

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Last modified July 12 17:07 EDT 2024. Contains 374251 sequences. (Running on oeis4.)