Defining parameters
Level: | \( N \) | \(=\) | \( 7942 = 2 \cdot 11 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 7942.t (of order \(30\) and degree \(8\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 209 \) |
Character field: | \(\Q(\zeta_{30})\) | ||
Sturm bound: | \(2280\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7942, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 9440 | 2720 | 6720 |
Cusp forms | 8800 | 2720 | 6080 |
Eisenstein series | 640 | 0 | 640 |
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
\( S_{2}^{\mathrm{old}}(7942, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(209, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(418, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3971, [\chi])\)\(^{\oplus 2}\)