Defining parameters
Level: | \( N \) | \(=\) | \( 1600 = 2^{6} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 1600.cr (of order \(80\) and degree \(32\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1600 \) |
Character field: | \(\Q(\zeta_{80})\) | ||
Sturm bound: | \(960\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(1600, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 23104 | 23104 | 0 |
Cusp forms | 22976 | 22976 | 0 |
Eisenstein series | 128 | 128 | 0 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(1600, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.