Defining parameters
| Level: | \( N \) | \(=\) | \( 8027 = 23 \cdot 349 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8027.ba (of order \(87\) and degree \(56\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 349 \) |
| Character field: | \(\Q(\zeta_{87})\) | ||
| Sturm bound: | \(1400\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8027, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 39312 | 35952 | 3360 |
| Cusp forms | 39088 | 35952 | 3136 |
| Eisenstein series | 224 | 0 | 224 |
Decomposition of \(S_{2}^{\mathrm{new}}(8027, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8027, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8027, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(349, [\chi])\)\(^{\oplus 2}\)