Defining parameters
| Level: | \( N \) | \(=\) | \( 9464 = 2^{3} \cdot 7 \cdot 13^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 9464.eg (of order \(12\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 52 \) |
| Character field: | \(\Q(\zeta_{12})\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(2912\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9464, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 6048 | 0 | 6048 |
| Cusp forms | 5600 | 0 | 5600 |
| Eisenstein series | 448 | 0 | 448 |
Decomposition of \(S_{2}^{\mathrm{old}}(9464, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9464, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(52, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(104, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(364, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(728, [\chi])\)\(^{\oplus 2}\)