Defining parameters
| Level: | \( N \) | \(=\) | \( 31734 = 2 \cdot 3^{2} \cdot 41 \cdot 43 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 31734.g (of order \(2\) and degree \(1\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 129 \) |
| Character field: | \(\Q\) | ||
| Sturm bound: | \(11088\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(31734, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 5560 | 592 | 4968 |
| Cusp forms | 5528 | 592 | 4936 |
| Eisenstein series | 32 | 0 | 32 |
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
\( S_{2}^{\mathrm{old}}(31734, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(129, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(258, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(387, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(774, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(5289, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(10578, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(15867, [\chi])\)\(^{\oplus 2}\)