Defining parameters
Level: | \( N \) | \(=\) | \( 8007 = 3 \cdot 17 \cdot 157 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8007.cu (of order \(39\) and degree \(24\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 157 \) |
Character field: | \(\Q(\zeta_{39})\) | ||
Sturm bound: | \(1896\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8007, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 22848 | 10128 | 12720 |
Cusp forms | 22656 | 10128 | 12528 |
Eisenstein series | 192 | 0 | 192 |
Decomposition of \(S_{2}^{\mathrm{new}}(8007, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8007, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8007, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(157, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(471, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2669, [\chi])\)\(^{\oplus 2}\)