Defining parameters
| Level: | \( N \) | \(=\) | \( 6023 = 19 \cdot 317 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6023.w (of order \(237\) and degree \(156\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 6023 \) |
| Character field: | \(\Q(\zeta_{237})\) | ||
| Sturm bound: | \(1060\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6023, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 82992 | 82992 | 0 |
| Cusp forms | 82368 | 82368 | 0 |
| Eisenstein series | 624 | 624 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(6023, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.