Defining parameters
| Level: | \( N \) | \(=\) | \( 9464 = 2^{3} \cdot 7 \cdot 13^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 9464.b (of order \(2\) and degree \(1\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 728 \) |
| Character field: | \(\Q\) | ||
| Sturm bound: | \(2912\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9464, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1484 | 1252 | 232 |
| Cusp forms | 1428 | 1212 | 216 |
| Eisenstein series | 56 | 40 | 16 |
Decomposition of \(S_{2}^{\mathrm{new}}(9464, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(9464, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9464, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(728, [\chi])\)\(^{\oplus 2}\)