A221705 Coefficients in q-expansion of modular form (of weight 2 and level 800) associated with the curve y^2 = x^3 - 25x.

1, 0, -3, -6, -2, 0, 0, -10, 0, 2, 10, 0, -7, -14, 0, -10, 0, 0, 6, 0, 9, 0, 10, 0, -18, -2, 0, 6, 14, 18, -11, 0, 0, 0, 22, 0, 0, 14, 6, -22, 0, 0, 23, 26, 0, -18, 0, 0, 14, 2, 0, 0, 0, 0, 0, 12, 0, 30, -26, 0, -30, 0, 0, 0, -2, 30, 0, -26, 0, 18, 10, 0, -13, 34, 0, 0, 0, 0, -26, -22

Offset

0,3

Comments

See A221702, which is the main entry for this sequence.

Links

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

Formula

a(n) = A221702(4*n + 1).

Prog

(Sage)
def a(n):
    E = EllipticCurve([-25, 0])
    return E.an(4*n+1)  # Robin Visser, Jul 22 2023

Crossrefs

Cf. A221702.

Sequence in context: A335227 A094445 A004158 * A332505 A303864 A058178

Adjacent sequences: A221702 A221703 A221704 * A221706 A221707 A221708

Keyword

sign

Author

N. J. A. Sloane, Jan 22 2013

Extensions

More terms from Robin Visser, Jul 22 2023

Status

approved