Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of M2(560,[χ]).
|
Total |
New |
Old |
Modular forms
| 216 |
52 |
164 |
Cusp forms
| 168 |
44 |
124 |
Eisenstein series
| 48 |
8 |
40 |
Decomposition of S2new(560,[χ]) into newform subspaces
Decomposition of S2old(560,[χ]) into lower level spaces
S2old(560,[χ])≃ S2new(35,[χ])⊕5⊕S2new(70,[χ])⊕4⊕S2new(140,[χ])⊕3⊕S2new(280,[χ])⊕2