Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of M4(900,[χ]).
|
Total |
New |
Old |
Modular forms
| 1116 |
114 |
1002 |
Cusp forms
| 1044 |
114 |
930 |
Eisenstein series
| 72 |
0 |
72 |
Decomposition of S4new(900,[χ]) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of S4old(900,[χ]) into lower level spaces
S4old(900,[χ])≃ S4new(9,[χ])⊕9⊕S4new(18,[χ])⊕6⊕S4new(36,[χ])⊕3⊕S4new(45,[χ])⊕6⊕S4new(90,[χ])⊕4⊕S4new(180,[χ])⊕2⊕S4new(225,[χ])⊕3⊕S4new(450,[χ])⊕2