Defining parameters
| Level: | \( N \) | \(=\) | \( 9240 = 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 9240.gd (of order \(6\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 3080 \) |
| Character field: | \(\Q(\zeta_{6})\) | ||
| Sturm bound: | \(4608\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9240, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 4640 | 2304 | 2336 |
| Cusp forms | 4576 | 2304 | 2272 |
| Eisenstein series | 64 | 0 | 64 |
Decomposition of \(S_{2}^{\mathrm{new}}(9240, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(9240, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9240, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(3080, [\chi])\)\(^{\oplus 2}\)