Defining parameters
Level: | \( N \) | \(=\) | \( 7935 = 3 \cdot 5 \cdot 23^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 7935.i (of order \(4\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 15 \) |
Character field: | \(\Q(i)\) | ||
Sturm bound: | \(2208\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7935, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 2304 | 2104 | 200 |
Cusp forms | 2112 | 1936 | 176 |
Eisenstein series | 192 | 168 | 24 |
Decomposition of \(S_{2}^{\mathrm{new}}(7935, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(7935, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7935, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(345, [\chi])\)\(^{\oplus 2}\)