Defining parameters
| Level: | \( N \) | \(=\) | \( 9196 = 2^{2} \cdot 11^{2} \cdot 19 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 9196.ch (of order \(90\) and degree \(24\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 209 \) |
| Character field: | \(\Q(\zeta_{90})\) | ||
| Sturm bound: | \(2640\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9196, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 32544 | 4320 | 28224 |
| Cusp forms | 30816 | 4320 | 26496 |
| Eisenstein series | 1728 | 0 | 1728 |
Decomposition of \(S_{2}^{\mathrm{new}}(9196, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(9196, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9196, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(209, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(418, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(836, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2299, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4598, [\chi])\)\(^{\oplus 2}\)