Defining parameters
Level: | \( N \) | \(=\) | \( 8047 = 13 \cdot 619 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8047.bj (of order \(309\) and degree \(204\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 619 \) |
Character field: | \(\Q(\zeta_{309})\) | ||
Sturm bound: | \(1446\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8047, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 148104 | 126480 | 21624 |
Cusp forms | 147288 | 126480 | 20808 |
Eisenstein series | 816 | 0 | 816 |
Decomposition of \(S_{2}^{\mathrm{new}}(8047, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8047, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8047, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(619, [\chi])\)\(^{\oplus 2}\)