Defining parameters
Level: | \( N \) | \(=\) | \( 5776 = 2^{4} \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 5776.v (of order \(12\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 304 \) |
Character field: | \(\Q(\zeta_{12})\) | ||
Sturm bound: | \(1520\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5776, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 3120 | 2784 | 336 |
Cusp forms | 2960 | 2656 | 304 |
Eisenstein series | 160 | 128 | 32 |
Decomposition of \(S_{2}^{\mathrm{new}}(5776, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5776, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5776, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(304, [\chi])\)\(^{\oplus 2}\)