Defining parameters
Level: | \( N \) | \(=\) | \( 8281 = 7^{2} \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8281.ed (of order \(546\) and degree \(144\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 8281 \) |
Character field: | \(\Q(\zeta_{546})\) | ||
Sturm bound: | \(1698\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8281, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 122688 | 122688 | 0 |
Cusp forms | 122112 | 122112 | 0 |
Eisenstein series | 576 | 576 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(8281, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.