Defining parameters
Level: | \( N \) | \(=\) | \( 1334 = 2 \cdot 23 \cdot 29 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1334.m (of order \(22\) and degree \(10\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 667 \) |
Character field: | \(\Q(\zeta_{22})\) | ||
Sturm bound: | \(360\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(1334, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1840 | 600 | 1240 |
Cusp forms | 1760 | 600 | 1160 |
Eisenstein series | 80 | 0 | 80 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(1334, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(1334, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(1334, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(667, [\chi])\)\(^{\oplus 2}\)