Defining parameters
| Level: | \( N \) | \(=\) | \( 4788 = 2^{2} \cdot 3^{2} \cdot 7 \cdot 19 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4788.jx (of order \(18\) and degree \(6\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1596 \) |
| Character field: | \(\Q(\zeta_{18})\) | ||
| Sturm bound: | \(1920\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4788, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 5856 | 1920 | 3936 |
| Cusp forms | 5664 | 1920 | 3744 |
| Eisenstein series | 192 | 0 | 192 |
Decomposition of \(S_{2}^{\mathrm{new}}(4788, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4788, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4788, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(1596, [\chi])\)\(^{\oplus 2}\)