Defining parameters
| Level: | \( N \) | \(=\) | \( 8011 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8011.r (of order \(801\) and degree \(528\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 8011 \) |
| Character field: | \(\Q(\zeta_{801})\) | ||
| Sturm bound: | \(1335\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8011, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 353232 | 353232 | 0 |
| Cusp forms | 352176 | 352176 | 0 |
| Eisenstein series | 1056 | 1056 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(8011, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.