Defining parameters
Level: | \( N \) | \(=\) | \( 3344 = 2^{4} \cdot 11 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 3344.ey (of order \(90\) and degree \(24\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 836 \) |
Character field: | \(\Q(\zeta_{90})\) | ||
Sturm bound: | \(960\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(3344, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 11808 | 2880 | 8928 |
Cusp forms | 11232 | 2880 | 8352 |
Eisenstein series | 576 | 0 | 576 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(3344, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(3344, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(3344, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(836, [\chi])\)\(^{\oplus 3}\)