Defining parameters
| Level: | \( N \) | \(=\) | \( 8013 = 3 \cdot 2671 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8013.q (of order \(89\) and degree \(88\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2671 \) |
| Character field: | \(\Q(\zeta_{89})\) | ||
| Sturm bound: | \(1781\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8013, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 78496 | 39248 | 39248 |
| Cusp forms | 78144 | 39248 | 38896 |
| Eisenstein series | 352 | 0 | 352 |
Decomposition of \(S_{2}^{\mathrm{new}}(8013, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8013, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8013, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2671, [\chi])\)\(^{\oplus 2}\)