Defining parameters
Level: | \( N \) | \(=\) | \( 7744 = 2^{6} \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 7744.bc (of order \(16\) and degree \(8\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 704 \) |
Character field: | \(\Q(\zeta_{16})\) | ||
Sturm bound: | \(2112\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7744, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 8544 | 6976 | 1568 |
Cusp forms | 8352 | 6848 | 1504 |
Eisenstein series | 192 | 128 | 64 |
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
\( S_{2}^{\mathrm{old}}(7744, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(704, [\chi])\)\(^{\oplus 2}\)