Defining parameters
| Level: | \( N \) | \(=\) | \( 8820 = 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8820.id (of order \(84\) and degree \(24\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 8820 \) |
| Character field: | \(\Q(\zeta_{84})\) | ||
| Sturm bound: | \(4032\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8820, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 48576 | 48576 | 0 |
| Cusp forms | 48192 | 48192 | 0 |
| Eisenstein series | 384 | 384 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(8820, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.