Defining parameters
| Level: | \( N \) | \(=\) | \( 264 = 2^{3} \cdot 3 \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 4 \) |
| Character orbit: | \([\chi]\) | \(=\) | 264.s (of order \(10\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 44 \) |
| Character field: | \(\Q(\zeta_{10})\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(192\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(264, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 608 | 0 | 608 |
| Cusp forms | 544 | 0 | 544 |
| Eisenstein series | 64 | 0 | 64 |
Decomposition of \(S_{4}^{\mathrm{old}}(264, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(264, [\chi]) \simeq \) \(S_{4}^{\mathrm{new}}(44, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(132, [\chi])\)\(^{\oplus 2}\)