Defining parameters
| Level: | \( N \) | \(=\) | \( 8024 = 2^{3} \cdot 17 \cdot 59 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8024.bo (of order \(29\) and degree \(28\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 59 \) |
| Character field: | \(\Q(\zeta_{29})\) | ||
| Sturm bound: | \(2160\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8024, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 30464 | 6720 | 23744 |
| Cusp forms | 30016 | 6720 | 23296 |
| Eisenstein series | 448 | 0 | 448 |
Decomposition of \(S_{2}^{\mathrm{new}}(8024, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8024, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8024, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(59, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(118, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(236, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(472, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1003, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2006, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4012, [\chi])\)\(^{\oplus 2}\)