Defining parameters
Level: | \( N \) | \(=\) | \( 8011 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8011.p (of order \(445\) and degree \(352\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 8011 \) |
Character field: | \(\Q(\zeta_{445})\) | ||
Sturm bound: | \(1335\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8011, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 235136 | 235136 | 0 |
Cusp forms | 234432 | 234432 | 0 |
Eisenstein series | 704 | 704 | 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.