Defining parameters
Level: | \( N \) | \(=\) | \( 8024 = 2^{3} \cdot 17 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8024.j (of order \(2\) and degree \(1\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 472 \) |
Character field: | \(\Q\) | ||
Sturm bound: | \(2160\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8024, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1084 | 960 | 124 |
Cusp forms | 1076 | 960 | 116 |
Eisenstein series | 8 | 0 | 8 |
Decomposition of \(S_{2}^{\mathrm{new}}(8024, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8024, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8024, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(472, [\chi])\)\(^{\oplus 2}\)