Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of M9(300,[χ]).
|
Total |
New |
Old |
Modular forms
| 498 |
51 |
447 |
Cusp forms
| 462 |
51 |
411 |
Eisenstein series
| 36 |
0 |
36 |
Decomposition of S9new(300,[χ]) into newform subspaces
Decomposition of S9old(300,[χ]) into lower level spaces
S9old(300,[χ])≃ S9new(3,[χ])⊕9⊕S9new(6,[χ])⊕6⊕S9new(12,[χ])⊕3⊕S9new(15,[χ])⊕6⊕S9new(30,[χ])⊕4⊕S9new(60,[χ])⊕2⊕S9new(75,[χ])⊕3⊕S9new(150,[χ])⊕2