Defining parameters
| Level: | \( N \) | \(=\) | \( 8043 = 3 \cdot 7 \cdot 383 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8043.u (of order \(382\) and degree \(190\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1149 \) |
| Character field: | \(\Q(\zeta_{382})\) | ||
| Sturm bound: | \(2048\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8043, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 195320 | 145920 | 49400 |
| Cusp forms | 193800 | 145920 | 47880 |
| Eisenstein series | 1520 | 0 | 1520 |
Decomposition of \(S_{2}^{\mathrm{new}}(8043, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8043, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8043, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1149, [\chi])\)\(^{\oplus 2}\)