Defining parameters
| Level: | \( N \) | \(=\) | \( 3192 = 2^{3} \cdot 3 \cdot 7 \cdot 19 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 3192.jl (of order \(18\) and degree \(6\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1064 \) |
| Character field: | \(\Q(\zeta_{18})\) | ||
| Sturm bound: | \(1280\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(3192, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 3888 | 1920 | 1968 |
| Cusp forms | 3792 | 1920 | 1872 |
| Eisenstein series | 96 | 0 | 96 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(3192, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(3192, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(3192, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1064, [\chi])\)\(^{\oplus 2}\)