Defining parameters
| Level: | \( N \) | \(=\) | \( 9282 = 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 9282.lz (of order \(48\) and degree \(16\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1547 \) |
| Character field: | \(\Q(\zeta_{48})\) | ||
| Sturm bound: | \(4032\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9282, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 32512 | 5376 | 27136 |
| Cusp forms | 32000 | 5376 | 26624 |
| Eisenstein series | 512 | 0 | 512 |
Decomposition of \(S_{2}^{\mathrm{new}}(9282, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(9282, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9282, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(1547, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3094, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4641, [\chi])\)\(^{\oplus 2}\)