Defining parameters
| Level: | \( N \) | \(=\) | \( 8005 = 5 \cdot 1601 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8005.bf (of order \(32\) and degree \(16\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 8005 \) |
| Character field: | \(\Q(\zeta_{32})\) | ||
| Sturm bound: | \(1602\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8005, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 12832 | 12832 | 0 |
| Cusp forms | 12768 | 12768 | 0 |
| Eisenstein series | 64 | 64 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(8005, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.