Defining parameters
| Level: | \( N \) | \(=\) | \( 4730 = 2 \cdot 5 \cdot 11 \cdot 43 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4730.by (of order \(30\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2365 \) |
| Character field: | \(\Q(\zeta_{30})\) | ||
| Sturm bound: | \(1584\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4730, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 6400 | 2112 | 4288 |
| Cusp forms | 6272 | 2112 | 4160 |
| Eisenstein series | 128 | 0 | 128 |
Decomposition of \(S_{2}^{\mathrm{new}}(4730, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4730, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4730, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2365, [\chi])\)\(^{\oplus 2}\)