Defining parameters
Level: | \( N \) | \(=\) | \( 4017 = 3 \cdot 13 \cdot 103 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4017.eg (of order \(204\) and degree \(64\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1339 \) |
Character field: | \(\Q(\zeta_{204})\) | ||
Sturm bound: | \(970\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4017, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 31296 | 15552 | 15744 |
Cusp forms | 30784 | 15552 | 15232 |
Eisenstein series | 512 | 0 | 512 |
Decomposition of \(S_{2}^{\mathrm{new}}(4017, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4017, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4017, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1339, [\chi])\)\(^{\oplus 2}\)