Defining parameters
| Level: | \( N \) | \(=\) | \( 4598 = 2 \cdot 11^{2} \cdot 19 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4598.bj (of order \(110\) and degree \(40\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2299 \) |
| Character field: | \(\Q(\zeta_{110})\) | ||
| Sturm bound: | \(1320\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4598, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 26560 | 8800 | 17760 |
| Cusp forms | 26240 | 8800 | 17440 |
| Eisenstein series | 320 | 0 | 320 |
Decomposition of \(S_{2}^{\mathrm{new}}(4598, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4598, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4598, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2299, [\chi])\)\(^{\oplus 2}\)