Defining parameters
Level: | \( N \) | \(=\) | \( 8670 = 2 \cdot 3 \cdot 5 \cdot 17^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8670.i (of order \(4\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 255 \) |
Character field: | \(\Q(i)\) | ||
Sturm bound: | \(3672\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8670, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 3816 | 1080 | 2736 |
Cusp forms | 3528 | 1080 | 2448 |
Eisenstein series | 288 | 0 | 288 |
Decomposition of \(S_{2}^{\mathrm{new}}(8670, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8670, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8670, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(255, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(510, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4335, [\chi])\)\(^{\oplus 2}\)