Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of M2(3762,[χ]).
|
Total |
New |
Old |
Modular forms
| 736 |
72 |
664 |
Cusp forms
| 704 |
72 |
632 |
Eisenstein series
| 32 |
0 |
32 |
Decomposition of S2new(3762,[χ]) into newform subspaces
Decomposition of S2old(3762,[χ]) into lower level spaces
S2old(3762,[χ])≃ S2new(57,[χ])⊕8⊕S2new(114,[χ])⊕4⊕S2new(171,[χ])⊕4⊕S2new(342,[χ])⊕2⊕S2new(627,[χ])⊕4⊕S2new(1254,[χ])⊕2⊕S2new(1881,[χ])⊕2