Defining parameters
Level: | \( N \) | \(=\) | \( 8085 = 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8085.dj (of order \(20\) and degree \(8\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 165 \) |
Character field: | \(\Q(\zeta_{20})\) | ||
Sturm bound: | \(2688\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8085, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 11008 | 8032 | 2976 |
Cusp forms | 10496 | 7712 | 2784 |
Eisenstein series | 512 | 320 | 192 |
Decomposition of \(S_{2}^{\mathrm{new}}(8085, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8085, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8085, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(165, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1155, [\chi])\)\(^{\oplus 2}\)