Defining parameters
| Level: | \( N \) | \(=\) | \( 5043 = 3 \cdot 41^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5043.v (of order \(164\) and degree \(80\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1681 \) |
| Character field: | \(\Q(\zeta_{164})\) | ||
| Sturm bound: | \(1148\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5043, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 46080 | 22880 | 23200 |
| Cusp forms | 45760 | 22880 | 22880 |
| Eisenstein series | 320 | 0 | 320 |
Decomposition of \(S_{2}^{\mathrm{new}}(5043, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5043, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5043, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(1681, [\chi])\)\(^{\oplus 2}\)