Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of M2(1568,[χ]).
|
Total |
New |
Old |
Modular forms
| 512 |
88 |
424 |
Cusp forms
| 384 |
72 |
312 |
Eisenstein series
| 128 |
16 |
112 |
Decomposition of S2new(1568,[χ]) into newform subspaces
Decomposition of S2old(1568,[χ]) into lower level spaces
S2old(1568,[χ])≃ S2new(56,[χ])⊕6⊕S2new(224,[χ])⊕2⊕S2new(392,[χ])⊕3