Defining parameters
| Level: | \( N \) | \(=\) | \( 4232 = 2^{3} \cdot 23^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4232.bf (of order \(506\) and degree \(220\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4232 \) |
| Character field: | \(\Q(\zeta_{506})\) | ||
| Sturm bound: | \(1104\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4232, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 121880 | 121880 | 0 |
| Cusp forms | 121000 | 121000 | 0 |
| Eisenstein series | 880 | 880 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(4232, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.