Defining parameters
| Level: | \( N \) | \(=\) | \( 5220 = 2^{2} \cdot 3^{2} \cdot 5 \cdot 29 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5220.di (of order \(14\) and degree \(6\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1740 \) |
| Character field: | \(\Q(\zeta_{14})\) | ||
| Sturm bound: | \(2160\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5220, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 6576 | 2160 | 4416 |
| Cusp forms | 6384 | 2160 | 4224 |
| Eisenstein series | 192 | 0 | 192 |
Decomposition of \(S_{2}^{\mathrm{new}}(5220, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5220, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5220, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(1740, [\chi])\)\(^{\oplus 2}\)