Defining parameters
| Level: | \( N \) | \(=\) | \( 4001 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4001.g (of order \(16\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4001 \) |
| Character field: | \(\Q(\zeta_{16})\) | ||
| Sturm bound: | \(667\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4001, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 2680 | 2680 | 0 |
| Cusp forms | 2664 | 2664 | 0 |
| Eisenstein series | 16 | 16 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(4001, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.