Defining parameters
| Level: | \( N \) | \(=\) | \( 4027 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4027.g (of order \(33\) and degree \(20\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4027 \) |
| Character field: | \(\Q(\zeta_{33})\) | ||
| Sturm bound: | \(671\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4027, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 6740 | 6740 | 0 |
| Cusp forms | 6700 | 6700 | 0 |
| Eisenstein series | 40 | 40 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(4027, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.