Defining parameters
| Level: | \( N \) | \(=\) | \( 2128 = 2^{4} \cdot 7 \cdot 19 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 2128.fw (of order \(18\) and degree \(6\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 532 \) |
| Character field: | \(\Q(\zeta_{18})\) | ||
| Sturm bound: | \(640\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(2128, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1992 | 480 | 1512 |
| Cusp forms | 1848 | 480 | 1368 |
| Eisenstein series | 144 | 0 | 144 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(2128, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(2128, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(2128, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(532, [\chi])\)\(^{\oplus 3}\)