Defining parameters
| Level: | \( N \) | \(=\) | \( 8041 = 11 \cdot 17 \cdot 43 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8041.z (of order \(8\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 8041 \) |
| Character field: | \(\Q(\zeta_{8})\) | ||
| Sturm bound: | \(1584\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8041, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 3184 | 3184 | 0 |
| Cusp forms | 3152 | 3152 | 0 |
| Eisenstein series | 32 | 32 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(8041, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.