Defining parameters
| Level: | \( N \) | \(=\) | \( 6017 = 11 \cdot 547 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6017.by (of order \(390\) and degree \(96\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 6017 \) |
| Character field: | \(\Q(\zeta_{390})\) | ||
| Sturm bound: | \(1096\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6017, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 52800 | 52800 | 0 |
| Cusp forms | 52416 | 52416 | 0 |
| Eisenstein series | 384 | 384 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(6017, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.