Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of M3(900,[χ]).
|
Total |
New |
Old |
Modular forms
| 756 |
72 |
684 |
Cusp forms
| 684 |
72 |
612 |
Eisenstein series
| 72 |
0 |
72 |
Decomposition of S3new(900,[χ]) into newform subspaces
Decomposition of S3old(900,[χ]) into lower level spaces
S3old(900,[χ])≃ S3new(45,[χ])⊕6⊕S3new(90,[χ])⊕4⊕S3new(180,[χ])⊕2⊕S3new(225,[χ])⊕3⊕S3new(450,[χ])⊕2