Defining parameters
| Level: | \( N \) | \(=\) | \( 5586 = 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5586.dg (of order \(42\) and degree \(12\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2793 \) |
| Character field: | \(\Q(\zeta_{42})\) | ||
| Sturm bound: | \(2240\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5586, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 13536 | 4464 | 9072 |
| Cusp forms | 13344 | 4464 | 8880 |
| Eisenstein series | 192 | 0 | 192 |
Decomposition of \(S_{2}^{\mathrm{new}}(5586, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5586, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5586, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2793, [\chi])\)\(^{\oplus 2}\)