Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of M4(315,[χ]).
|
Total |
New |
Old |
Modular forms
| 304 |
80 |
224 |
Cusp forms
| 272 |
80 |
192 |
Eisenstein series
| 32 |
0 |
32 |
Decomposition of S4new(315,[χ]) into newform subspaces
Decomposition of S4old(315,[χ]) into lower level spaces
S4old(315,[χ])≃ S4new(7,[χ])⊕6⊕S4new(21,[χ])⊕4⊕S4new(35,[χ])⊕3⊕S4new(63,[χ])⊕2⊕S4new(105,[χ])⊕2