Defining parameters
| Level: | \( N \) | \(=\) | \( 7728 = 2^{4} \cdot 3 \cdot 7 \cdot 23 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 7728.hh (of order \(132\) and degree \(40\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 7728 \) |
| Character field: | \(\Q(\zeta_{132})\) | ||
| Sturm bound: | \(3072\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7728, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 61760 | 61760 | 0 |
| Cusp forms | 61120 | 61120 | 0 |
| Eisenstein series | 640 | 640 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(7728, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.