Defining parameters
Level: | \( N \) | \(=\) | \( 1734 = 2 \cdot 3 \cdot 17^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1734.t (of order \(272\) and degree \(128\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 867 \) |
Character field: | \(\Q(\zeta_{272})\) | ||
Sturm bound: | \(612\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(1734, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 39680 | 13056 | 26624 |
Cusp forms | 38656 | 13056 | 25600 |
Eisenstein series | 1024 | 0 | 1024 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(1734, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(1734, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(1734, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(867, [\chi])\)\(^{\oplus 2}\)