Defining parameters
Level: | \( N \) | \(=\) | \( 8281 = 7^{2} \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8281.c (of order \(2\) and degree \(1\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 13 \) |
Character field: | \(\Q\) | ||
Sturm bound: | \(1698\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8281, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 904 | 550 | 354 |
Cusp forms | 792 | 500 | 292 |
Eisenstein series | 112 | 50 | 62 |
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
\( S_{2}^{\mathrm{old}}(8281, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(169, [\chi])\)\(^{\oplus 3}\)