Defining parameters
Level: | \( N \) | \(=\) | \( 1849 = 43^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1849.c (of order \(3\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 43 \) |
Character field: | \(\Q(\zeta_{3})\) | ||
Sturm bound: | \(315\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(1849, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 360 | 340 | 20 |
Cusp forms | 272 | 260 | 12 |
Eisenstein series | 88 | 80 | 8 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(1849, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(1849, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(1849, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(43, [\chi])\)\(^{\oplus 2}\)