Defining parameters
Level: | \( N \) | \(=\) | \( 5824 = 2^{6} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 5824.ha (of order \(12\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1456 \) |
Character field: | \(\Q(\zeta_{12})\) | ||
Sturm bound: | \(1792\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5824, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 3648 | 912 | 2736 |
Cusp forms | 3520 | 880 | 2640 |
Eisenstein series | 128 | 32 | 96 |
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
\( S_{2}^{\mathrm{old}}(5824, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1456, [\chi])\)\(^{\oplus 3}\)