Defining parameters
| Level: | \( N \) | \(=\) | \( 6037 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6037.g (of order \(503\) and degree \(502\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 6037 \) |
| Character field: | \(\Q(\zeta_{503})\) | ||
| Sturm bound: | \(1006\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6037, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 252506 | 252506 | 0 |
| Cusp forms | 251502 | 251502 | 0 |
| Eisenstein series | 1004 | 1004 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(6037, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.