Defining parameters
| Level: | \( N \) | \(=\) | \( 5239 = 13^{2} \cdot 31 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5239.bx (of order \(30\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 403 \) |
| Character field: | \(\Q(\zeta_{30})\) | ||
| Sturm bound: | \(970\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5239, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 3992 | 3368 | 624 |
| Cusp forms | 3768 | 3208 | 560 |
| Eisenstein series | 224 | 160 | 64 |
Decomposition of \(S_{2}^{\mathrm{new}}(5239, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5239, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5239, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(403, [\chi])\)\(^{\oplus 2}\)