A221702 q-expansion of modular form (of weight 2 and level 800) associated with the curve y^2 = x^3 - 25x.

0, 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, -6, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, -7, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 10

Offset

0,10

Links

Robin Visser, Table of n, a(n) for n = 0..10000

F. Q. Gouvea, Review of "Elliptic Curves, Modular Forms and Their L-functions" by A. Lozano-Robledo, Amer. Math. Monthly. 120 (Jan. 2013), 84-94.

Example

q - 3*q^9 - 6*q^13 - 2*q^17 - 10*q^29 + 2*q^37 + 10*q^41 - 7*q^49 + ...

Prog

(Sage)
def a(n):
    E = EllipticCurve([-25, 0])
    return E.an(n)  # Robin Visser, Jul 22 2023

Crossrefs

See A221705 for another version.

Sequence in context: A333784 A181189 A327889 * A084681 A261038 A370108

Adjacent sequences: A221699 A221700 A221701 * A221703 A221704 A221705

Keyword

sign

Author

N. J. A. Sloane, Jan 22 2013

Extensions

More terms from Robin Visser, Jul 22 2023

Status

approved