Defining parameters
Level: | \( N \) | \(=\) | \( 3549 = 3 \cdot 7 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 3549.y (of order \(6\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 273 \) |
Character field: | \(\Q(\zeta_{6})\) | ||
Sturm bound: | \(970\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(3549, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1026 | 862 | 164 |
Cusp forms | 914 | 782 | 132 |
Eisenstein series | 112 | 80 | 32 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(3549, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(3549, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(3549, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(273, [\chi])\)\(^{\oplus 2}\)