Defining parameters
| Level: | \( N \) | \(=\) | \( 4608 = 2^{9} \cdot 3^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4608.ce (of order \(192\) and degree \(64\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2304 \) |
| Character field: | \(\Q(\zeta_{192})\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(1536\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4608, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 49408 | 0 | 49408 |
| Cusp forms | 48896 | 0 | 48896 |
| Eisenstein series | 512 | 0 | 512 |
Decomposition of \(S_{2}^{\mathrm{old}}(4608, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4608, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2304, [\chi])\)\(^{\oplus 2}\)