Defining parameters
| Level: | \( N \) | \(=\) | \( 8047 = 13 \cdot 619 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8047.be (of order \(103\) and degree \(102\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 619 \) |
| Character field: | \(\Q(\zeta_{103})\) | ||
| Sturm bound: | \(1446\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8047, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 73848 | 63240 | 10608 |
| Cusp forms | 73440 | 63240 | 10200 |
| Eisenstein series | 408 | 0 | 408 |
Decomposition of \(S_{2}^{\mathrm{new}}(8047, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8047, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8047, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(619, [\chi])\)\(^{\oplus 2}\)