Defining parameters
| Level: | \( N \) | \(=\) | \( 8003 = 53 \cdot 151 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8003.bk (of order \(75\) and degree \(40\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 151 \) |
| Character field: | \(\Q(\zeta_{75})\) | ||
| Sturm bound: | \(1368\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8003, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 27440 | 26320 | 1120 |
| Cusp forms | 27280 | 26320 | 960 |
| Eisenstein series | 160 | 0 | 160 |
Decomposition of \(S_{2}^{\mathrm{new}}(8003, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8003, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8003, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(151, [\chi])\)\(^{\oplus 2}\)