Defining parameters
Level: | \( N \) | \(=\) | \( 8281 = 7^{2} \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8281.dh (of order \(156\) and degree \(48\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1183 \) |
Character field: | \(\Q(\zeta_{156})\) | ||
Sturm bound: | \(1698\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8281, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 41184 | 29280 | 11904 |
Cusp forms | 40416 | 28896 | 11520 |
Eisenstein series | 768 | 384 | 384 |
Decomposition of \(S_{2}^{\mathrm{new}}(8281, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8281, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8281, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1183, [\chi])\)\(^{\oplus 2}\)