Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of M2(1200,[χ]).
|
Total |
New |
Old |
Modular forms
| 276 |
18 |
258 |
Cusp forms
| 204 |
18 |
186 |
Eisenstein series
| 72 |
0 |
72 |
Decomposition of S2new(1200,[χ]) into newform subspaces
Decomposition of S2old(1200,[χ]) into lower level spaces
S2old(1200,[χ])≃ S2new(30,[χ])⊕8⊕S2new(40,[χ])⊕8⊕S2new(50,[χ])⊕8⊕S2new(60,[χ])⊕6⊕S2new(75,[χ])⊕5⊕S2new(80,[χ])⊕4⊕S2new(100,[χ])⊕6⊕S2new(120,[χ])⊕4⊕S2new(150,[χ])⊕4⊕S2new(200,[χ])⊕4⊕S2new(240,[χ])⊕2⊕S2new(300,[χ])⊕3⊕S2new(400,[χ])⊕2⊕S2new(600,[χ])⊕2