Defining parameters
Level: | \( N \) | \(=\) | \( 4320 = 2^{5} \cdot 3^{3} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4320.gi (of order \(72\) and degree \(24\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4320 \) |
Character field: | \(\Q(\zeta_{72})\) | ||
Sturm bound: | \(1728\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4320, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 20832 | 20832 | 0 |
Cusp forms | 20640 | 20640 | 0 |
Eisenstein series | 192 | 192 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(4320, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.