Defining parameters
Level: | \( N \) | \(=\) | \( 8020 = 2^{2} \cdot 5 \cdot 401 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8020.dt (of order \(200\) and degree \(80\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 8020 \) |
Character field: | \(\Q(\zeta_{200})\) | ||
Sturm bound: | \(2412\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8020, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 96800 | 96800 | 0 |
Cusp forms | 96160 | 96160 | 0 |
Eisenstein series | 640 | 640 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(8020, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.