Defining parameters
| Level: | \( N \) | \(=\) | \( 4334 = 2 \cdot 11 \cdot 197 \) |
| Weight: | \( k \) | \(=\) | \( 3 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4334.ba (of order \(140\) and degree \(48\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2167 \) |
| Character field: | \(\Q(\zeta_{140})\) | ||
| Sturm bound: | \(1782\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{3}(4334, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 57216 | 19008 | 38208 |
| Cusp forms | 56832 | 19008 | 37824 |
| Eisenstein series | 384 | 0 | 384 |
Decomposition of \(S_{3}^{\mathrm{new}}(4334, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{3}^{\mathrm{old}}(4334, [\chi])\) into lower level spaces
\( S_{3}^{\mathrm{old}}(4334, [\chi]) \cong \) \(S_{3}^{\mathrm{new}}(2167, [\chi])\)\(^{\oplus 2}\)