Defining parameters
Level: | \( N \) | \(=\) | \( 8001 = 3^{2} \cdot 7 \cdot 127 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8001.ki (of order \(42\) and degree \(12\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 8001 \) |
Character field: | \(\Q(\zeta_{42})\) | ||
Sturm bound: | \(2048\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8001, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 12336 | 12336 | 0 |
Cusp forms | 12240 | 12240 | 0 |
Eisenstein series | 96 | 96 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(8001, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.