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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.

%I A101435 #11 Aug 31 2018 11:40:47
%S A101435 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,
%T A101435 21,23,23,23,25,27,27,29,31,31,31,33,35,37,37,37,39,39,41,41,41,41,43,
%U A101435 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
%N 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.
%H A101435 A. Pacetti and F. Rodriguez Villegas, <a href="https://doi.org/10.1090/S0025-5718-04-01709-0">Computing weight two modular forms of level p^2</a>, Math. Comp. 74 (2004), 1545-1557. See Table 1.
%p A101435 with(numtheory); L:=legendre; f:=p->(p+5)/12 + (1-L(-3,p))/3-(1-L(2,p))/2;
%Y A101435 Cf. A002143.
%K A101435 nonn
%O A101435 1,4
%A A101435 _N. J. A. Sloane_, Nov 29 2006