Defining parameters
Level: | \( N \) | \(=\) | \( 4026 = 2 \cdot 3 \cdot 11 \cdot 61 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4026.fu (of order \(60\) and degree \(16\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 671 \) |
Character field: | \(\Q(\zeta_{60})\) | ||
Sturm bound: | \(1488\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4026, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 12032 | 1984 | 10048 |
Cusp forms | 11776 | 1984 | 9792 |
Eisenstein series | 256 | 0 | 256 |
Decomposition of \(S_{2}^{\mathrm{new}}(4026, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4026, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4026, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(671, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1342, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2013, [\chi])\)\(^{\oplus 2}\)