Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of M2(4788,[χ]).
|
Total |
New |
Old |
Modular forms
| 1968 |
96 |
1872 |
Cusp forms
| 1872 |
96 |
1776 |
Eisenstein series
| 96 |
0 |
96 |
Decomposition of S2new(4788,[χ]) into newform subspaces
Decomposition of S2old(4788,[χ]) into lower level spaces
S2old(4788,[χ])≃ S2new(21,[χ])⊕12⊕S2new(42,[χ])⊕8⊕S2new(63,[χ])⊕6⊕S2new(84,[χ])⊕4⊕S2new(126,[χ])⊕4⊕S2new(252,[χ])⊕2⊕S2new(399,[χ])⊕6⊕S2new(798,[χ])⊕4⊕S2new(1197,[χ])⊕3⊕S2new(1596,[χ])⊕2⊕S2new(2394,[χ])⊕2