Defining parameters
| Level: | \( N \) | \(=\) | \( 8993 = 17 \cdot 23^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8993.v (of order \(88\) and degree \(40\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 391 \) |
| Character field: | \(\Q(\zeta_{88})\) | ||
| Sturm bound: | \(1656\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8993, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 34080 | 31040 | 3040 |
| Cusp forms | 32160 | 29440 | 2720 |
| Eisenstein series | 1920 | 1600 | 320 |
Decomposition of \(S_{2}^{\mathrm{new}}(8993, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8993, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8993, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(391, [\chi])\)\(^{\oplus 2}\)