Defining parameters
| Level: | \( N \) | \(=\) | \( 8047 = 13 \cdot 619 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8047.bs (of order \(618\) and degree \(204\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 8047 \) |
| Character field: | \(\Q(\zeta_{618})\) | ||
| Sturm bound: | \(1446\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8047, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 147900 | 147900 | 0 |
| Cusp forms | 147084 | 147084 | 0 |
| Eisenstein series | 816 | 816 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(8047, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.