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A060340
Possible sizes of the torsion group of an elliptic curve over some quadratic extension of the rationals Q. This is the full sequence.
0
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).
CROSSREFS
Cf. A059765.
Sequence in context: A371477 A246076 A246082 * A241989 A246089 A078510
KEYWORD
fini,full,nonn
AUTHOR
Noam Katz (noamkj(AT)hotmail.com), Mar 30 2001
STATUS
approved