Defining parameters
| Level: | \( N \) | \(=\) | \( 4334 = 2 \cdot 11 \cdot 197 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4334.t (of order \(49\) and degree \(42\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 197 \) |
| Character field: | \(\Q(\zeta_{49})\) | ||
| Sturm bound: | \(1188\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4334, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 25116 | 6888 | 18228 |
| Cusp forms | 24780 | 6888 | 17892 |
| Eisenstein series | 336 | 0 | 336 |
Decomposition of \(S_{2}^{\mathrm{new}}(4334, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4334, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4334, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(197, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(394, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2167, [\chi])\)\(^{\oplus 2}\)