Defining parameters
| Level: | \( N \) | \(=\) | \( 6336 = 2^{6} \cdot 3^{2} \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6336.fg (of order \(80\) and degree \(32\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 704 \) |
| Character field: | \(\Q(\zeta_{80})\) | ||
| Sturm bound: | \(2304\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6336, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 37120 | 15424 | 21696 |
| Cusp forms | 36608 | 15296 | 21312 |
| Eisenstein series | 512 | 128 | 384 |
Decomposition of \(S_{2}^{\mathrm{new}}(6336, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6336, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6336, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(704, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2112, [\chi])\)\(^{\oplus 2}\)