Defining parameters
| Level: | \( N \) | \(=\) | \( 9747 = 3^{3} \cdot 19^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 9747.ew (of order \(342\) and degree \(108\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1083 \) |
| Character field: | \(\Q(\zeta_{342})\) | ||
| Sturm bound: | \(2280\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9747, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 123768 | 54756 | 69012 |
| Cusp forms | 122472 | 54756 | 67716 |
| Eisenstein series | 1296 | 0 | 1296 |
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
\( S_{2}^{\mathrm{old}}(9747, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1083, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3249, [\chi])\)\(^{\oplus 2}\)