Defining parameters
Level: | \( N \) | \(=\) | \( 6840 = 2^{3} \cdot 3^{2} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6840.nj (of order \(36\) and degree \(12\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 6840 \) |
Character field: | \(\Q(\zeta_{36})\) | ||
Sturm bound: | \(2880\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6840, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 17376 | 17376 | 0 |
Cusp forms | 17184 | 17184 | 0 |
Eisenstein series | 192 | 192 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(6840, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.