Defining parameters
Level: | \( N \) | \(=\) | \( 8007 = 3 \cdot 17 \cdot 157 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8007.db (of order \(48\) and degree \(16\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 8007 \) |
Character field: | \(\Q(\zeta_{48})\) | ||
Sturm bound: | \(1896\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8007, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 15232 | 15232 | 0 |
Cusp forms | 15104 | 15104 | 0 |
Eisenstein series | 128 | 128 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(8007, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.