Defining parameters
| Level: | \( N \) | \(=\) | \( 9295 = 5 \cdot 11 \cdot 13^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 9295.bw (of order \(13\) and degree \(12\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 169 \) |
| Character field: | \(\Q(\zeta_{13})\) | ||
| Sturm bound: | \(2184\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9295, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 13152 | 7248 | 5904 |
| Cusp forms | 13056 | 7248 | 5808 |
| Eisenstein series | 96 | 0 | 96 |
Decomposition of \(S_{2}^{\mathrm{new}}(9295, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(9295, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9295, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(169, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(845, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1859, [\chi])\)\(^{\oplus 2}\)