Defining parameters
| Level: | \( N \) | \(=\) | \( 7616 = 2^{6} \cdot 7 \cdot 17 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 7616.lb (of order \(48\) and degree \(16\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 7616 \) |
| Character field: | \(\Q(\zeta_{48})\) | ||
| Sturm bound: | \(2304\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7616, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 18496 | 18496 | 0 |
| Cusp forms | 18368 | 18368 | 0 |
| Eisenstein series | 128 | 128 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(7616, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.