Defining parameters
| Level: | \( N \) | \(=\) | \( 9747 = 3^{3} \cdot 19^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 9747.bk (of order \(18\) and degree \(6\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 513 \) |
| Character field: | \(\Q(\zeta_{18})\) | ||
| Sturm bound: | \(2280\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9747, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 6960 | 6216 | 744 |
| Cusp forms | 6720 | 6024 | 696 |
| Eisenstein series | 240 | 192 | 48 |
Decomposition of \(S_{2}^{\mathrm{new}}(9747, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(9747, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9747, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(513, [\chi])\)\(^{\oplus 2}\)