Defining parameters
| Level: | \( N \) | \(=\) | \( 1208 = 2^{3} \cdot 151 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 1208.bv (of order \(150\) and degree \(40\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 604 \) |
| Character field: | \(\Q(\zeta_{150})\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(304\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(1208, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 6240 | 0 | 6240 |
| Cusp forms | 5920 | 0 | 5920 |
| Eisenstein series | 320 | 0 | 320 |
Decomposition of \(S_{2}^{\mathrm{old}}(1208, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(1208, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(604, [\chi])\)\(^{\oplus 2}\)