Defining parameters
Level: | \( N \) | \(=\) | \( 8993 = 17 \cdot 23^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8993.e (of order \(4\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 17 \) |
Character field: | \(\Q(i)\) | ||
Sturm bound: | \(1656\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8993, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1704 | 1556 | 148 |
Cusp forms | 1608 | 1472 | 136 |
Eisenstein series | 96 | 84 | 12 |
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
\( S_{2}^{\mathrm{old}}(8993, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(391, [\chi])\)\(^{\oplus 2}\)