Defining parameters
Level: | \( N \) | \(=\) | \( 6038 = 2 \cdot 3019 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6038.g (of order \(1509\) and degree \(1004\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 3019 \) |
Character field: | \(\Q(\zeta_{1509})\) | ||
Sturm bound: | \(1510\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6038, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 760028 | 252004 | 508024 |
Cusp forms | 756012 | 252004 | 504008 |
Eisenstein series | 4016 | 0 | 4016 |
Decomposition of \(S_{2}^{\mathrm{new}}(6038, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6038, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6038, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(3019, [\chi])\)\(^{\oplus 2}\)