Defining parameters
| Level: | \( N \) | \(=\) | \( 8024 = 2^{3} \cdot 17 \cdot 59 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8024.be (of order \(8\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 136 \) |
| Character field: | \(\Q(\zeta_{8})\) | ||
| Sturm bound: | \(2160\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8024, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 4336 | 4176 | 160 |
| Cusp forms | 4304 | 4176 | 128 |
| Eisenstein series | 32 | 0 | 32 |
Decomposition of \(S_{2}^{\mathrm{new}}(8024, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8024, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8024, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(136, [\chi])\)\(^{\oplus 2}\)