Defining parameters
Level: | \( N \) | \(=\) | \( 4029 = 3 \cdot 17 \cdot 79 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4029.t (of order \(6\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 237 \) |
Character field: | \(\Q(\zeta_{6})\) | ||
Sturm bound: | \(960\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4029, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 968 | 852 | 116 |
Cusp forms | 952 | 852 | 100 |
Eisenstein series | 16 | 0 | 16 |
Decomposition of \(S_{2}^{\mathrm{new}}(4029, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4029, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4029, [\chi]) \cong \)