Defining parameters
| Level: | \( N \) | \(=\) | \( 3971 = 11 \cdot 19^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 3971.p (of order \(18\) and degree \(6\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 209 \) |
| Character field: | \(\Q(\zeta_{18})\) | ||
| Sturm bound: | \(760\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(3971, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 2400 | 2136 | 264 |
| Cusp forms | 2160 | 1944 | 216 |
| Eisenstein series | 240 | 192 | 48 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(3971, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(3971, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(3971, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(209, [\chi])\)\(^{\oplus 2}\)