Defining parameters
| Level: | \( N \) | \(=\) | \( 2664 = 2^{3} \cdot 3^{2} \cdot 37 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 2664.gv (of order \(36\) and degree \(12\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 148 \) |
| Character field: | \(\Q(\zeta_{36})\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(912\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(2664, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 5664 | 0 | 5664 |
| Cusp forms | 5280 | 0 | 5280 |
| Eisenstein series | 384 | 0 | 384 |
Decomposition of \(S_{2}^{\mathrm{old}}(2664, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(2664, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(148, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(296, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(444, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(888, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1332, [\chi])\)\(^{\oplus 2}\)