Defining parameters
| Level: | \( N \) | \(=\) | \( 4019 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4019.e (of order \(41\) and degree \(40\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4019 \) |
| Character field: | \(\Q(\zeta_{41})\) | ||
| Sturm bound: | \(670\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4019, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 13440 | 13440 | 0 |
| Cusp forms | 13360 | 13360 | 0 |
| Eisenstein series | 80 | 80 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(4019, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.