Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of M4(112,[χ]).
|
Total |
New |
Old |
Modular forms
| 108 |
26 |
82 |
Cusp forms
| 84 |
22 |
62 |
Eisenstein series
| 24 |
4 |
20 |
Decomposition of S4new(112,[χ]) into newform subspaces
Decomposition of S4old(112,[χ]) into lower level spaces
S4old(112,[χ])≃ S4new(7,[χ])⊕5⊕S4new(14,[χ])⊕4⊕S4new(28,[χ])⊕3⊕S4new(56,[χ])⊕2