Defining parameters
| Level: | \( N \) | \(=\) | \( 8016 = 2^{4} \cdot 3 \cdot 167 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8016.bq (of order \(332\) and degree \(164\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 8016 \) |
| Character field: | \(\Q(\zeta_{332})\) | ||
| Sturm bound: | \(2688\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8016, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 221072 | 221072 | 0 |
| Cusp forms | 219760 | 219760 | 0 |
| Eisenstein series | 1312 | 1312 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(8016, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.