Defining parameters
Level: | \( N \) | \(=\) | \( 8027 = 23 \cdot 349 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8027.i (of order \(6\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 349 \) |
Character field: | \(\Q(\zeta_{6})\) | ||
Sturm bound: | \(1400\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8027, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1404 | 1280 | 124 |
Cusp forms | 1396 | 1280 | 116 |
Eisenstein series | 8 | 0 | 8 |
Decomposition of \(S_{2}^{\mathrm{new}}(8027, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8027, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8027, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(349, [\chi])\)\(^{\oplus 2}\)