Defining parameters
| Level: | \( N \) | \(=\) | \( 7644 = 2^{2} \cdot 3 \cdot 7^{2} \cdot 13 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 7644.u (of order \(4\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1092 \) |
| Character field: | \(\Q(i)\) | ||
| Sturm bound: | \(3136\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7644, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 3200 | 2272 | 928 |
| Cusp forms | 3072 | 2208 | 864 |
| Eisenstein series | 128 | 64 | 64 |
Decomposition of \(S_{2}^{\mathrm{new}}(7644, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(7644, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7644, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1092, [\chi])\)\(^{\oplus 2}\)