Defining parameters
Level: | \( N \) | \(=\) | \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 462.s (of order \(10\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 231 \) |
Character field: | \(\Q(\zeta_{10})\) | ||
Sturm bound: | \(768\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{8}(462, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 2720 | 896 | 1824 |
Cusp forms | 2656 | 896 | 1760 |
Eisenstein series | 64 | 0 | 64 |
Trace form
Decomposition of \(S_{8}^{\mathrm{new}}(462, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{8}^{\mathrm{old}}(462, [\chi])\) into lower level spaces
\( S_{8}^{\mathrm{old}}(462, [\chi]) \cong \) \(S_{8}^{\mathrm{new}}(231, [\chi])\)\(^{\oplus 2}\)