Defining parameters
| Level: | \( N \) | \(=\) | \( 4851 = 3^{2} \cdot 7^{2} \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4851.es (of order \(70\) and degree \(24\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 539 \) |
| Character field: | \(\Q(\zeta_{70})\) | ||
| Sturm bound: | \(1344\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4851, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 16320 | 6768 | 9552 |
| Cusp forms | 15936 | 6672 | 9264 |
| Eisenstein series | 384 | 96 | 288 |
Decomposition of \(S_{2}^{\mathrm{new}}(4851, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4851, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4851, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(539, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1617, [\chi])\)\(^{\oplus 2}\)