Defining parameters
| Level: | \( N \) | \(=\) | \( 1152 = 2^{7} \cdot 3^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 1152.bp (of order \(48\) and degree \(16\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 576 \) |
| Character field: | \(\Q(\zeta_{48})\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(384\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(1152, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 3136 | 0 | 3136 |
| Cusp forms | 3008 | 0 | 3008 |
| Eisenstein series | 128 | 0 | 128 |
Decomposition of \(S_{2}^{\mathrm{old}}(1152, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(1152, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(576, [\chi])\)\(^{\oplus 2}\)