Defining parameters
| Level: | \( N \) | \(=\) | \( 31433 = 17 \cdot 43^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 31433.ci (of order \(903\) and degree \(504\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1849 \) |
| Character field: | \(\Q(\zeta_{903})\) | ||
| Sturm bound: | \(5676\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(31433, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1431360 | 1271088 | 160272 |
| Cusp forms | 1429344 | 1271088 | 158256 |
| Eisenstein series | 2016 | 0 | 2016 |
Decomposition of \(S_{2}^{\mathrm{new}}(31433, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(31433, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(31433, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(1849, [\chi])\)\(^{\oplus 2}\)