Defining parameters
Level: | \( N \) | \(=\) | \( 8670 = 2 \cdot 3 \cdot 5 \cdot 17^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8670.cn (of order \(272\) and degree \(128\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1445 \) |
Character field: | \(\Q(\zeta_{272})\) | ||
Sturm bound: | \(3672\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8670, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 236032 | 39168 | 196864 |
Cusp forms | 233984 | 39168 | 194816 |
Eisenstein series | 2048 | 0 | 2048 |
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
\( S_{2}^{\mathrm{old}}(8670, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(1445, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2890, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4335, [\chi])\)\(^{\oplus 2}\)