Defining parameters
Level: | \( N \) | \(=\) | \( 5824 = 2^{6} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 5824.p (of order \(2\) and degree \(1\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 364 \) |
Character field: | \(\Q\) | ||
Sturm bound: | \(1792\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5824, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 920 | 228 | 692 |
Cusp forms | 872 | 220 | 652 |
Eisenstein series | 48 | 8 | 40 |
Decomposition of \(S_{2}^{\mathrm{new}}(5824, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5824, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5824, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(364, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(728, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1456, [\chi])\)\(^{\oplus 3}\)