Defining parameters
Level: | \( N \) | \(=\) | \( 4012 = 2^{2} \cdot 17 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4012.y (of order \(58\) and degree \(28\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 236 \) |
Character field: | \(\Q(\zeta_{58})\) | ||
Sturm bound: | \(1080\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4012, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 15232 | 13440 | 1792 |
Cusp forms | 15008 | 13440 | 1568 |
Eisenstein series | 224 | 0 | 224 |
Decomposition of \(S_{2}^{\mathrm{new}}(4012, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4012, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4012, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(236, [\chi])\)\(^{\oplus 2}\)