Defining parameters
Level: | \( N \) | \(=\) | \( 8013 = 3 \cdot 2671 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8013.be (of order \(2670\) and degree \(704\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 8013 \) |
Character field: | \(\Q(\zeta_{2670})\) | ||
Sturm bound: | \(1781\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8013, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 628672 | 628672 | 0 |
Cusp forms | 625856 | 625856 | 0 |
Eisenstein series | 2816 | 2816 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(8013, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.