Defining parameters
Level: | \( N \) | \(=\) | \( 4029 = 3 \cdot 17 \cdot 79 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4029.cj (of order \(104\) and degree \(48\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1343 \) |
Character field: | \(\Q(\zeta_{104})\) | ||
Sturm bound: | \(960\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4029, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 23232 | 11520 | 11712 |
Cusp forms | 22848 | 11520 | 11328 |
Eisenstein series | 384 | 0 | 384 |
Decomposition of \(S_{2}^{\mathrm{new}}(4029, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4029, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4029, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1343, [\chi])\)\(^{\oplus 2}\)