Defining parameters
Level: | \( N \) | \(=\) | \( 8024 = 2^{3} \cdot 17 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8024.ch (of order \(116\) and degree \(56\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1003 \) |
Character field: | \(\Q(\zeta_{116})\) | ||
Sturm bound: | \(2160\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8024, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 60928 | 15120 | 45808 |
Cusp forms | 60032 | 15120 | 44912 |
Eisenstein series | 896 | 0 | 896 |
Decomposition of \(S_{2}^{\mathrm{new}}(8024, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8024, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8024, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1003, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2006, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4012, [\chi])\)\(^{\oplus 2}\)