Defining parameters
| Level: | \( N \) | \(=\) | \( 5929 = 7^{2} \cdot 11^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5929.bz (of order \(330\) and degree \(80\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 847 \) |
| Character field: | \(\Q(\zeta_{330})\) | ||
| Sturm bound: | \(1232\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5929, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 49920 | 35520 | 14400 |
| Cusp forms | 48640 | 34880 | 13760 |
| Eisenstein series | 1280 | 640 | 640 |
Decomposition of \(S_{2}^{\mathrm{new}}(5929, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5929, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5929, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(847, [\chi])\)\(^{\oplus 2}\)