Defining parameters
Level: | \( N \) | \(=\) | \( 6171 = 3 \cdot 11^{2} \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6171.q (of order \(8\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 561 \) |
Character field: | \(\Q(\zeta_{8})\) | ||
Sturm bound: | \(1584\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6171, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 3264 | 2656 | 608 |
Cusp forms | 3072 | 2528 | 544 |
Eisenstein series | 192 | 128 | 64 |
Decomposition of \(S_{2}^{\mathrm{new}}(6171, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6171, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6171, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(561, [\chi])\)\(^{\oplus 2}\)