Defining parameters
| Level: | \( N \) | \(=\) | \( 8005 = 5 \cdot 1601 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8005.bk (of order \(40\) and degree \(16\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1601 \) |
| Character field: | \(\Q(\zeta_{40})\) | ||
| Sturm bound: | \(1602\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8005, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 12832 | 8544 | 4288 |
| Cusp forms | 12768 | 8544 | 4224 |
| Eisenstein series | 64 | 0 | 64 |
Decomposition of \(S_{2}^{\mathrm{new}}(8005, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8005, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8005, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1601, [\chi])\)\(^{\oplus 2}\)