Defining parameters
Level: | \( N \) | \(=\) | \( 1323 = 3^{3} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 1323.cc (of order \(63\) and degree \(36\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1323 \) |
Character field: | \(\Q(\zeta_{63})\) | ||
Sturm bound: | \(672\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(1323, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 18216 | 18216 | 0 |
Cusp forms | 18072 | 18072 | 0 |
Eisenstein series | 144 | 144 | 0 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(1323, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.