Defining parameters
Level: | \( N \) | \(=\) | \( 8021 = 13 \cdot 617 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8021.dl (of order \(308\) and degree \(120\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 8021 \) |
Character field: | \(\Q(\zeta_{308})\) | ||
Sturm bound: | \(1442\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8021, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 86640 | 86640 | 0 |
Cusp forms | 86160 | 86160 | 0 |
Eisenstein series | 480 | 480 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(8021, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.