Defining parameters
Level: | \( N \) | \(=\) | \( 4034 = 2 \cdot 2017 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4034.y (of order \(112\) and degree \(48\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2017 \) |
Character field: | \(\Q(\zeta_{112})\) | ||
Sturm bound: | \(1009\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4034, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 24336 | 8112 | 16224 |
Cusp forms | 24144 | 8112 | 16032 |
Eisenstein series | 192 | 0 | 192 |
Decomposition of \(S_{2}^{\mathrm{new}}(4034, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4034, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4034, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2017, [\chi])\)\(^{\oplus 2}\)