Defining parameters
Level: | \( N \) | \(=\) | \( 8015 = 5 \cdot 7 \cdot 229 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8015.o (of order \(4\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1603 \) |
Character field: | \(\Q(i)\) | ||
Sturm bound: | \(1840\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8015, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1848 | 1232 | 616 |
Cusp forms | 1832 | 1232 | 600 |
Eisenstein series | 16 | 0 | 16 |
Decomposition of \(S_{2}^{\mathrm{new}}(8015, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8015, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8015, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1603, [\chi])\)\(^{\oplus 2}\)