A060340 Possible sizes of the torsion group of an elliptic curve over some quadratic extension of the rationals Q. This is the full sequence.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 20, 24

Offset

0,2

References

Kamienny, S. Torsion points on elliptic curves and q-coefficients of modular forms. Invent. Math. 109, No. 2, 221-229 (1992).

Kenku, M.A.; Momose, F. Torsion points on elliptic curves defined over quadratic fields. Nagoya Math. J. 109, 125-149 (1988).

Links

Table of n, a(n) for n=0..18.

Crossrefs

Cf. A059765.

Sequence in context: A371477 A246076 A246082 * A241989 A246089 A078510

Adjacent sequences: A060337 A060338 A060339 * A060341 A060342 A060343

Keyword

fini,full,nonn

Author

Noam Katz (noamkj(AT)hotmail.com), Mar 30 2001

Status

approved