Defining parameters
| Level: | \( N \) | \(=\) | \( 8024 = 2^{3} \cdot 17 \cdot 59 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8024.cf (of order \(116\) and degree \(56\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 8024 \) |
| Character field: | \(\Q(\zeta_{116})\) | ||
| Sturm bound: | \(2160\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8024, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 60704 | 60704 | 0 |
| Cusp forms | 60256 | 60256 | 0 |
| Eisenstein series | 448 | 448 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(8024, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.