Defining parameters
Level: | \( N \) | \(=\) | \( 6023 = 19 \cdot 317 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6023.s (of order \(79\) and degree \(78\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 317 \) |
Character field: | \(\Q(\zeta_{79})\) | ||
Sturm bound: | \(1060\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6023, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 41496 | 37284 | 4212 |
Cusp forms | 41184 | 37284 | 3900 |
Eisenstein series | 312 | 0 | 312 |
Decomposition of \(S_{2}^{\mathrm{new}}(6023, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6023, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6023, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(317, [\chi])\)\(^{\oplus 2}\)