Defining parameters
| Level: | \( N \) | \(=\) | \( 7524 = 2^{2} \cdot 3^{2} \cdot 11 \cdot 19 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 7524.bn (of order \(6\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 684 \) |
| Character field: | \(\Q(\zeta_{6})\) | ||
| Sturm bound: | \(2880\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7524, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 2896 | 2400 | 496 |
| Cusp forms | 2864 | 2400 | 464 |
| Eisenstein series | 32 | 0 | 32 |
Decomposition of \(S_{2}^{\mathrm{new}}(7524, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(7524, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7524, [\chi]) \cong \)