Defining parameters
| Level: | \( N \) | \(=\) | \( 31734 = 2 \cdot 3^{2} \cdot 41 \cdot 43 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 31734.cn (of order \(12\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 15867 \) |
| Character field: | \(\Q(\zeta_{12})\) | ||
| Sturm bound: | \(11088\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(31734, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 22208 | 7392 | 14816 |
| Cusp forms | 22144 | 7392 | 14752 |
| Eisenstein series | 64 | 0 | 64 |
Decomposition of \(S_{2}^{\mathrm{new}}(31734, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(31734, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(31734, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(15867, [\chi])\)\(^{\oplus 2}\)