Defining parameters
Level: | \( N \) | \(=\) | \( 3600 = 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 3600.gd (of order \(60\) and degree \(16\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 3600 \) |
Character field: | \(\Q(\zeta_{60})\) | ||
Sturm bound: | \(2160\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{3}(3600, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 23104 | 23104 | 0 |
Cusp forms | 22976 | 22976 | 0 |
Eisenstein series | 128 | 128 | 0 |
Trace form
Decomposition of \(S_{3}^{\mathrm{new}}(3600, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.