Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of M3(495,[χ]).
|
Total |
New |
Old |
Modular forms
| 304 |
100 |
204 |
Cusp forms
| 272 |
100 |
172 |
Eisenstein series
| 32 |
0 |
32 |
Decomposition of S3new(495,[χ]) into newform subspaces
Decomposition of S3old(495,[χ]) into lower level spaces
S3old(495,[χ])≃ S3new(15,[χ])⊕4⊕S3new(45,[χ])⊕2⊕S3new(55,[χ])⊕3⊕S3new(165,[χ])⊕2