Defining parameters
| Level: | \( N \) | \(=\) | \( 7744 = 2^{6} \cdot 11^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 7744.bx (of order \(80\) and degree \(32\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 704 \) |
| Character field: | \(\Q(\zeta_{80})\) | ||
| Sturm bound: | \(2112\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7744, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 34176 | 27904 | 6272 |
| Cusp forms | 33408 | 27392 | 6016 |
| Eisenstein series | 768 | 512 | 256 |
Decomposition of \(S_{2}^{\mathrm{new}}(7744, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(7744, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7744, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(704, [\chi])\)\(^{\oplus 2}\)