Defining parameters
Level: | \( N \) | \(=\) | \( 8034 = 2 \cdot 3 \cdot 13 \cdot 103 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8034.dn (of order \(102\) and degree \(32\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4017 \) |
Character field: | \(\Q(\zeta_{102})\) | ||
Sturm bound: | \(2912\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8034, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 46848 | 15552 | 31296 |
Cusp forms | 46336 | 15552 | 30784 |
Eisenstein series | 512 | 0 | 512 |
Decomposition of \(S_{2}^{\mathrm{new}}(8034, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8034, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8034, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(4017, [\chi])\)\(^{\oplus 2}\)