Defining parameters
Level: | \( N \) | \(=\) | \( 8023 = 71 \cdot 113 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8023.g (of order \(5\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 71 \) |
Character field: | \(\Q(\zeta_{5})\) | ||
Sturm bound: | \(1368\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8023, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 2744 | 2688 | 56 |
Cusp forms | 2728 | 2688 | 40 |
Eisenstein series | 16 | 0 | 16 |
Decomposition of \(S_{2}^{\mathrm{new}}(8023, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8023, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8023, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(71, [\chi])\)\(^{\oplus 2}\)