Defining parameters
| Level: | \( N \) | \(=\) | \( 8303 = 19^{2} \cdot 23 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8303.u (of order \(38\) and degree \(18\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 8303 \) |
| Character field: | \(\Q(\zeta_{38})\) | ||
| Sturm bound: | \(1520\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8303, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 13716 | 13716 | 0 |
| Cusp forms | 13644 | 13644 | 0 |
| Eisenstein series | 72 | 72 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(8303, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.