Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of M6(504,[χ]).
|
Total |
New |
Old |
Modular forms
| 992 |
100 |
892 |
Cusp forms
| 928 |
100 |
828 |
Eisenstein series
| 64 |
0 |
64 |
Decomposition of S6new(504,[χ]) into newform subspaces
Decomposition of S6old(504,[χ]) into lower level spaces
S6old(504,[χ])≃ S6new(7,[χ])⊕12⊕S6new(14,[χ])⊕9⊕S6new(21,[χ])⊕8⊕S6new(28,[χ])⊕6⊕S6new(42,[χ])⊕6⊕S6new(56,[χ])⊕3⊕S6new(63,[χ])⊕4⊕S6new(84,[χ])⊕4⊕S6new(126,[χ])⊕3⊕S6new(168,[χ])⊕2⊕S6new(252,[χ])⊕2