Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of M2(512,[χ]).
|
Total |
New |
Old |
Modular forms
| 320 |
80 |
240 |
Cusp forms
| 192 |
48 |
144 |
Eisenstein series
| 128 |
32 |
96 |
Decomposition of S2new(512,[χ]) into newform subspaces
Decomposition of S2old(512,[χ]) into lower level spaces
S2old(512,[χ])≃ S2new(32,[χ])⊕5⊕S2new(128,[χ])⊕3⊕S2new(256,[χ])⊕2