Defining parameters
| Level: | \( N \) | \(=\) | \( 4840 = 2^{3} \cdot 5 \cdot 11^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4840.z (of order \(10\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 88 \) |
| Character field: | \(\Q(\zeta_{10})\) | ||
| Sturm bound: | \(1584\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4840, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 3264 | 1728 | 1536 |
| Cusp forms | 3072 | 1728 | 1344 |
| Eisenstein series | 192 | 0 | 192 |
Decomposition of \(S_{2}^{\mathrm{new}}(4840, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4840, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4840, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(88, [\chi])\)\(^{\oplus 4}\)