Defining parameters
Level: | \( N \) | \(=\) | \( 8085 = 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8085.fu (of order \(70\) and degree \(24\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 8085 \) |
Character field: | \(\Q(\zeta_{70})\) | ||
Sturm bound: | \(2688\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8085, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 32448 | 32448 | 0 |
Cusp forms | 32064 | 32064 | 0 |
Eisenstein series | 384 | 384 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(8085, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.