A076695 Dimension of S2(G0(p)) where p runs through the odd primes >= 13, G0(N) is the Hecke subgroup of SL2(Z), consisting of 2 X 2 matrices (a,b; c,d) with c == 0 (mod N).

0, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 5, 4, 5, 6, 5, 6, 7, 7, 7, 8, 8, 9, 8, 9, 10, 11, 11, 11, 12, 12, 12, 13, 14, 14, 15, 14, 16, 15, 16, 16, 17, 18, 19, 18, 19, 20, 19, 21, 21, 22, 22, 22, 22, 23, 23, 24, 25, 26, 25, 26, 27, 27, 29, 28, 29, 30, 30, 30, 31, 32, 32, 32, 33, 33, 35, 34

Offset

1,4

References

Y. Hellegouarch, "Invitation aux mathématiques de Fermat-Wiles", 2e édition, DUNOD, p. 284

Links

Table of n, a(n) for n=1..77.

Formula

Dimension is (p+1)/12 if p==-1 (mod 12); (p-5)/12 if p==5 (mod 12); (p-7)/12 if p==7 (mod 12); (p-13)/12 if p==1 (mod 12).

Crossrefs

Sequence in context: A008668 A225643 A116563 * A071903 A091372 A185322

Adjacent sequences: A076692 A076693 A076694 * A076696 A076697 A076698

Keyword

nonn

Author

Benoit Cloitre, Nov 10 2002

Status

approved