Defining parameters
Level: | \( N \) | \(=\) | \( 2169 = 3^{2} \cdot 241 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 2169.bb (of order \(10\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 241 \) |
Character field: | \(\Q(\zeta_{10})\) | ||
Sturm bound: | \(484\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(2169, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 984 | 408 | 576 |
Cusp forms | 952 | 400 | 552 |
Eisenstein series | 32 | 8 | 24 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(2169, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(2169, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(2169, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(241, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(723, [\chi])\)\(^{\oplus 2}\)