Defining parameters
Level: | \( N \) | \(=\) | \( 3174 = 2 \cdot 3 \cdot 23^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 3174.j (of order \(46\) and degree \(22\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1587 \) |
Character field: | \(\Q(\zeta_{46})\) | ||
Sturm bound: | \(1104\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(3174, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 12232 | 4048 | 8184 |
Cusp forms | 12056 | 4048 | 8008 |
Eisenstein series | 176 | 0 | 176 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(3174, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(3174, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(3174, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1587, [\chi])\)\(^{\oplus 2}\)