Defining parameters
| Level: | \( N \) | \(=\) | \( 7942 = 2 \cdot 11 \cdot 19^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 7942.y (of order \(45\) and degree \(24\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 209 \) |
| Character field: | \(\Q(\zeta_{45})\) | ||
| Sturm bound: | \(2280\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7942, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 28320 | 8160 | 20160 |
| Cusp forms | 26400 | 8160 | 18240 |
| Eisenstein series | 1920 | 0 | 1920 |
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
\( S_{2}^{\mathrm{old}}(7942, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(209, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(418, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3971, [\chi])\)\(^{\oplus 2}\)