Defining parameters
Level: | \( N \) | \(=\) | \( 1088 = 2^{6} \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1088.cn (of order \(16\) and degree \(8\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 64 \) |
Character field: | \(\Q(\zeta_{16})\) | ||
Sturm bound: | \(288\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(1088, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1168 | 1024 | 144 |
Cusp forms | 1136 | 1024 | 112 |
Eisenstein series | 32 | 0 | 32 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(1088, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(1088, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(1088, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(64, [\chi])\)\(^{\oplus 2}\)