Defining parameters
| Level: | \( N \) | \(=\) | \( 4005 = 3^{2} \cdot 5 \cdot 89 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4005.be (of order \(8\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 445 \) |
| Character field: | \(\Q(\zeta_{8})\) | ||
| Sturm bound: | \(1080\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4005, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 2192 | 908 | 1284 |
| Cusp forms | 2128 | 892 | 1236 |
| Eisenstein series | 64 | 16 | 48 |
Decomposition of \(S_{2}^{\mathrm{new}}(4005, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4005, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4005, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(445, [\chi])\)\(^{\oplus 3}\)