Defining parameters
| Level: | \( N \) | \(=\) | \( 9386 = 2 \cdot 13 \cdot 19^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 9386.g (of order \(3\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 13 \) |
| Character field: | \(\Q(\zeta_{3})\) | ||
| Sturm bound: | \(2660\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9386, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 2740 | 798 | 1942 |
| Cusp forms | 2580 | 798 | 1782 |
| Eisenstein series | 160 | 0 | 160 |
Decomposition of \(S_{2}^{\mathrm{new}}(9386, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(9386, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9386, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(26, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(247, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(494, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4693, [\chi])\)\(^{\oplus 2}\)