Defining parameters
Level: | \( N \) | \(=\) | \( 7803 = 3^{3} \cdot 17^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 7803.e (of order \(3\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 9 \) |
Character field: | \(\Q(\zeta_{3})\) | ||
Sturm bound: | \(1836\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7803, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1944 | 572 | 1372 |
Cusp forms | 1728 | 512 | 1216 |
Eisenstein series | 216 | 60 | 156 |
Decomposition of \(S_{2}^{\mathrm{new}}(7803, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(7803, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7803, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(153, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(459, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2601, [\chi])\)\(^{\oplus 2}\)