Defining parameters
Level: | \( N \) | \(=\) | \( 4074 = 2 \cdot 3 \cdot 7 \cdot 97 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4074.bk (of order \(6\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2037 \) |
Character field: | \(\Q(\zeta_{6})\) | ||
Sturm bound: | \(1568\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4074, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1584 | 524 | 1060 |
Cusp forms | 1552 | 524 | 1028 |
Eisenstein series | 32 | 0 | 32 |
Decomposition of \(S_{2}^{\mathrm{new}}(4074, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4074, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4074, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(2037, [\chi])\)\(^{\oplus 2}\)