Defining parameters
| Level: | \( N \) | \(=\) | \( 8018 = 2 \cdot 19 \cdot 211 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8018.cf (of order \(30\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4009 \) |
| Character field: | \(\Q(\zeta_{30})\) | ||
| Sturm bound: | \(2120\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8018, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 8512 | 2848 | 5664 |
| Cusp forms | 8448 | 2848 | 5600 |
| Eisenstein series | 64 | 0 | 64 |
Decomposition of \(S_{2}^{\mathrm{new}}(8018, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8018, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8018, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(4009, [\chi])\)\(^{\oplus 2}\)