Defining parameters
| Level: | \( N \) | \(=\) | \( 8043 = 3 \cdot 7 \cdot 383 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8043.bf (of order \(1146\) and degree \(380\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2681 \) |
| Character field: | \(\Q(\zeta_{1146})\) | ||
| Sturm bound: | \(2048\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8043, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 390640 | 194560 | 196080 |
| Cusp forms | 387600 | 194560 | 193040 |
| Eisenstein series | 3040 | 0 | 3040 |
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
\( S_{2}^{\mathrm{old}}(8043, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2681, [\chi])\)\(^{\oplus 2}\)