Defining parameters
| Level: | \( N \) | \(=\) | \( 6384 = 2^{4} \cdot 3 \cdot 7 \cdot 19 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6384.gf (of order \(6\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1596 \) |
| Character field: | \(\Q(\zeta_{6})\) | ||
| Sturm bound: | \(2560\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6384, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 2608 | 640 | 1968 |
| Cusp forms | 2512 | 640 | 1872 |
| Eisenstein series | 96 | 0 | 96 |
Decomposition of \(S_{2}^{\mathrm{new}}(6384, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6384, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6384, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1596, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3192, [\chi])\)\(^{\oplus 2}\)