Defining parameters
| Level: | \( N \) | \(=\) | \( 4009 = 19 \cdot 211 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4009.cs (of order \(42\) and degree \(12\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4009 \) |
| Character field: | \(\Q(\zeta_{42})\) | ||
| Sturm bound: | \(706\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4009, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 4248 | 4248 | 0 |
| Cusp forms | 4200 | 4200 | 0 |
| Eisenstein series | 48 | 48 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(4009, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.