Defining parameters
| Level: | \( N \) | \(=\) | \( 8379 = 3^{2} \cdot 7^{2} \cdot 19 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8379.p (of order \(3\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1197 \) |
| Character field: | \(\Q(\zeta_{3})\) | ||
| Sturm bound: | \(2240\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8379, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 2272 | 1616 | 656 |
| Cusp forms | 2208 | 1584 | 624 |
| Eisenstein series | 64 | 32 | 32 |
Decomposition of \(S_{2}^{\mathrm{new}}(8379, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8379, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8379, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(1197, [\chi])\)\(^{\oplus 2}\)