Defining parameters
| Level: | \( N \) | \(=\) | \( 608 = 2^{5} \cdot 19 \) |
| Weight: | \( k \) | \(=\) | \( 3 \) |
| Character orbit: | \([\chi]\) | \(=\) | 608.bp (of order \(36\) and degree \(12\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 304 \) |
| Character field: | \(\Q(\zeta_{36})\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(240\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{3}(608, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1968 | 0 | 1968 |
| Cusp forms | 1872 | 0 | 1872 |
| Eisenstein series | 96 | 0 | 96 |
Decomposition of \(S_{3}^{\mathrm{old}}(608, [\chi])\) into lower level spaces
\( S_{3}^{\mathrm{old}}(608, [\chi]) \simeq \) \(S_{3}^{\mathrm{new}}(304, [\chi])\)\(^{\oplus 2}\)