Defining parameters
| Level: | \( N \) | \(=\) | \( 7942 = 2 \cdot 11 \cdot 19^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 7942.bh (of order \(171\) and degree \(108\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 361 \) |
| Character field: | \(\Q(\zeta_{171})\) | ||
| Sturm bound: | \(2280\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7942, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 123552 | 34344 | 89208 |
| Cusp forms | 122688 | 34344 | 88344 |
| Eisenstein series | 864 | 0 | 864 |
Decomposition of \(S_{2}^{\mathrm{new}}(7942, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(7942, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7942, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(361, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(722, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3971, [\chi])\)\(^{\oplus 2}\)