Defining parameters
| Level: | \( N \) | \(=\) | \( 9408 = 2^{6} \cdot 3 \cdot 7^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 9408.fq (of order \(168\) and degree \(48\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4704 \) |
| Character field: | \(\Q(\zeta_{168})\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(3584\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9408, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 86400 | 0 | 86400 |
| Cusp forms | 85632 | 0 | 85632 |
| Eisenstein series | 768 | 0 | 768 |
Decomposition of \(S_{2}^{\mathrm{old}}(9408, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9408, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(4704, [\chi])\)\(^{\oplus 2}\)