Defining parameters
Level: | \( N \) | \(=\) | \( 1080 = 2^{3} \cdot 3^{3} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 1080.bx (of order \(18\) and degree \(6\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1080 \) |
Character field: | \(\Q(\zeta_{18})\) | ||
Sturm bound: | \(1296\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{6}(1080, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 6504 | 6504 | 0 |
Cusp forms | 6456 | 6456 | 0 |
Eisenstein series | 48 | 48 | 0 |
Trace form
Decomposition of \(S_{6}^{\mathrm{new}}(1080, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.