Defining parameters
Level: | \( N \) | \(=\) | \( 8026 = 2 \cdot 4013 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8026.f (of order \(59\) and degree \(58\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4013 \) |
Character field: | \(\Q(\zeta_{59})\) | ||
Sturm bound: | \(2007\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8026, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 58290 | 19430 | 38860 |
Cusp forms | 58058 | 19430 | 38628 |
Eisenstein series | 232 | 0 | 232 |
Decomposition of \(S_{2}^{\mathrm{new}}(8026, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8026, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8026, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(4013, [\chi])\)\(^{\oplus 2}\)