Defining parameters
Level: | \( N \) | \(=\) | \( 405 = 3^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 405.t (of order \(54\) and degree \(18\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 405 \) |
Character field: | \(\Q(\zeta_{54})\) | ||
Sturm bound: | \(216\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(405, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 2952 | 2952 | 0 |
Cusp forms | 2880 | 2880 | 0 |
Eisenstein series | 72 | 72 | 0 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(405, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.