Defining parameters
| Level: | \( N \) | \(=\) | \( 8023 = 71 \cdot 113 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8023.da (of order \(56\) and degree \(24\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 113 \) |
| Character field: | \(\Q(\zeta_{56})\) | ||
| Sturm bound: | \(1368\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8023, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 16464 | 15936 | 528 |
| Cusp forms | 16368 | 15936 | 432 |
| Eisenstein series | 96 | 0 | 96 |
Decomposition of \(S_{2}^{\mathrm{new}}(8023, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8023, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8023, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(113, [\chi])\)\(^{\oplus 2}\)