Defining parameters
Level: | \( N \) | \(=\) | \( 4334 = 2 \cdot 11 \cdot 197 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 4334.r (of order \(28\) and degree \(12\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 197 \) |
Character field: | \(\Q(\zeta_{28})\) | ||
Sturm bound: | \(1782\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{3}(4334, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 14304 | 3960 | 10344 |
Cusp forms | 14208 | 3960 | 10248 |
Eisenstein series | 96 | 0 | 96 |
Decomposition of \(S_{3}^{\mathrm{new}}(4334, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{3}^{\mathrm{old}}(4334, [\chi])\) into lower level spaces
\( S_{3}^{\mathrm{old}}(4334, [\chi]) \cong \) \(S_{3}^{\mathrm{new}}(197, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{3}^{\mathrm{new}}(394, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{3}^{\mathrm{new}}(2167, [\chi])\)\(^{\oplus 2}\)