Defining parameters
| Level: | \( N \) | \(=\) | \( 6162 = 2 \cdot 3 \cdot 13 \cdot 79 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6162.ek (of order \(156\) and degree \(48\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 3081 \) |
| Character field: | \(\Q(\zeta_{156})\) | ||
| Sturm bound: | \(2240\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6162, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 54144 | 17856 | 36288 |
| Cusp forms | 53376 | 17856 | 35520 |
| Eisenstein series | 768 | 0 | 768 |
Decomposition of \(S_{2}^{\mathrm{new}}(6162, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6162, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6162, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(3081, [\chi])\)\(^{\oplus 2}\)