Defining parameters
Level: | \( N \) | \(=\) | \( 7942 = 2 \cdot 11 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 7942.b (of order \(2\) and degree \(1\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 209 \) |
Character field: | \(\Q\) | ||
Sturm bound: | \(2280\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7942, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1180 | 340 | 840 |
Cusp forms | 1100 | 340 | 760 |
Eisenstein series | 80 | 0 | 80 |
Decomposition of \(S_{2}^{\mathrm{new}}(7942, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(7942, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7942, [\chi]) \cong \)