Defining parameters
| Level: | \( N \) | \(=\) | \( 5166 = 2 \cdot 3^{2} \cdot 7 \cdot 41 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5166.bv (of order \(8\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 123 \) |
| Character field: | \(\Q(\zeta_{8})\) | ||
| Sturm bound: | \(2016\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5166, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 4096 | 336 | 3760 |
| Cusp forms | 3968 | 336 | 3632 |
| Eisenstein series | 128 | 0 | 128 |
Decomposition of \(S_{2}^{\mathrm{new}}(5166, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5166, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5166, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(123, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(246, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(369, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(738, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(861, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1722, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2583, [\chi])\)\(^{\oplus 2}\)