Defining parameters
Level: | \( N \) | \(=\) | \( 8619 = 3 \cdot 13^{2} \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8619.bg (of order \(8\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 17 \) |
Character field: | \(\Q(\zeta_{8})\) | ||
Sturm bound: | \(2184\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8619, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 4480 | 1864 | 2616 |
Cusp forms | 4256 | 1864 | 2392 |
Eisenstein series | 224 | 0 | 224 |
Decomposition of \(S_{2}^{\mathrm{new}}(8619, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8619, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8619, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2873, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(17, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(51, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(221, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(663, [\chi])\)\(^{\oplus 2}\)