Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of M6(80,[χ]).
|
Total |
New |
Old |
Modular forms
| 66 |
16 |
50 |
Cusp forms
| 54 |
14 |
40 |
Eisenstein series
| 12 |
2 |
10 |
Decomposition of S6new(80,[χ]) into newform subspaces
Decomposition of S6old(80,[χ]) into lower level spaces
S6old(80,[χ])≃ S6new(5,[χ])⊕5⊕S6new(10,[χ])⊕4⊕S6new(20,[χ])⊕3⊕S6new(40,[χ])⊕2