Defining parameters
| Level: | \( N \) | \(=\) | \( 6384 = 2^{4} \cdot 3 \cdot 7 \cdot 19 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6384.lf (of order \(18\) and degree \(6\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 3192 \) |
| Character field: | \(\Q(\zeta_{18})\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(2560\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6384, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 7776 | 0 | 7776 |
| Cusp forms | 7584 | 0 | 7584 |
| Eisenstein series | 192 | 0 | 192 |
Decomposition of \(S_{2}^{\mathrm{old}}(6384, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6384, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(3192, [\chi])\)\(^{\oplus 2}\)