Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of M2(684,[χ]).
|
Total |
New |
Old |
Modular forms
| 252 |
36 |
216 |
Cusp forms
| 228 |
36 |
192 |
Eisenstein series
| 24 |
0 |
24 |
Decomposition of S2new(684,[χ]) into newform subspaces
Decomposition of S2old(684,[χ]) into lower level spaces
S2old(684,[χ])≃ S2new(18,[χ])⊕4⊕S2new(36,[χ])⊕2⊕S2new(171,[χ])⊕3⊕S2new(342,[χ])⊕2