Defining parameters
| Level: | \( N \) | \(=\) | \( 9072 = 2^{4} \cdot 3^{4} \cdot 7 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 9072.x (of order \(4\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 112 \) |
| Character field: | \(\Q(i)\) | ||
| Sturm bound: | \(3456\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9072, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 3504 | 1552 | 1952 |
| Cusp forms | 3408 | 1520 | 1888 |
| Eisenstein series | 96 | 32 | 64 |
Decomposition of \(S_{2}^{\mathrm{new}}(9072, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(9072, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9072, [\chi]) \cong \)