Defining parameters
Level: | \( N \) | \(=\) | \( 8993 = 17 \cdot 23^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8993.g (of order \(8\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 17 \) |
Character field: | \(\Q(\zeta_{8})\) | ||
Sturm bound: | \(1656\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8993, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 3408 | 3116 | 292 |
Cusp forms | 3216 | 2948 | 268 |
Eisenstein series | 192 | 168 | 24 |
Decomposition of \(S_{2}^{\mathrm{new}}(8993, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8993, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8993, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(17, [\chi])\)\(^{\oplus 3}\)