Defining parameters
Level: | \( N \) | \(=\) | \( 7605 = 3^{2} \cdot 5 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 7605.v (of order \(4\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 195 \) |
Character field: | \(\Q(i)\) | ||
Sturm bound: | \(2184\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7605, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 2296 | 616 | 1680 |
Cusp forms | 2072 | 616 | 1456 |
Eisenstein series | 224 | 0 | 224 |
Decomposition of \(S_{2}^{\mathrm{new}}(7605, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(7605, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7605, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2535, [\chi])\)\(^{\oplus 2}\)