Defining parameters
| Level: | \( N \) | \(=\) | \( 6023 = 19 \cdot 317 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6023.v (of order \(158\) and degree \(78\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 317 \) |
| Character field: | \(\Q(\zeta_{158})\) | ||
| Sturm bound: | \(1060\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6023, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 41496 | 37128 | 4368 |
| Cusp forms | 41184 | 37128 | 4056 |
| Eisenstein series | 312 | 0 | 312 |
Decomposition of \(S_{2}^{\mathrm{new}}(6023, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6023, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6023, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(317, [\chi])\)\(^{\oplus 2}\)