Defining parameters
| Level: | \( N \) | \(=\) | \( 5220 = 2^{2} \cdot 3^{2} \cdot 5 \cdot 29 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5220.fw (of order \(84\) and degree \(24\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1305 \) |
| Character field: | \(\Q(\zeta_{84})\) | ||
| Sturm bound: | \(2160\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5220, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 26208 | 4320 | 21888 |
| Cusp forms | 25632 | 4320 | 21312 |
| Eisenstein series | 576 | 0 | 576 |
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
\( S_{2}^{\mathrm{old}}(5220, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(1305, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2610, [\chi])\)\(^{\oplus 2}\)