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

Author

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

Keywords

• fini
• full
• nonn

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).

Crossrefs

Cf. A059765.