Defining parameters
| Level: | \( N \) | \(=\) | \( 31433 = 17 \cdot 43^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 31433.cw (of order \(4816\) and degree \(2016\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 31433 \) |
| Character field: | \(\Q(\zeta_{4816})\) | ||
| Sturm bound: | \(5676\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(31433, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 5725440 | 5725440 | 0 |
| Cusp forms | 5717376 | 5717376 | 0 |
| Eisenstein series | 8064 | 8064 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(31433, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.