A101435 Dimension of a certain space of modular forms of weight 2 and level p^2, where p runs through the primes > 3 that are == 3 mod 4. See reference for precise definition.

1, 1, 1, 3, 3, 3, 5, 5, 5, 7, 7, 7, 9, 9, 11, 11, 11, 13, 13, 15, 15, 17, 17, 17, 19, 19, 21, 21, 23, 23, 23, 25, 27, 27, 29, 31, 31, 31, 33, 35, 37, 37, 37, 39, 39, 41, 41, 41, 41, 43, 43, 45, 47, 47, 49, 51, 51, 51, 53, 53, 55, 55, 57, 57, 61, 61, 61, 63, 63, 65, 67, 69, 69, 71, 71, 73

Offset: 1

Author

N. J. A. Sloane, Nov 29 2006

Keywords

• nonn

Links

• A. Pacetti and F. Rodriguez Villegas, Computing weight two modular forms of level p^2, Math. Comp. 74 (2004), 1545-1557. See Table 1.

Crossrefs

Cf. A002143.

Programs

Maple

with(numtheory); L:=legendre; f:=p->(p+5)/12 + (1-L(-3,p))/3-(1-L(2,p))/2;