Defining parameters
Level: | \( N \) | \(=\) | \( 8512 = 2^{6} \cdot 7 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8512.io (of order \(36\) and degree \(12\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2128 \) |
Character field: | \(\Q(\zeta_{36})\) | ||
Sturm bound: | \(2560\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8512, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 15552 | 3888 | 11664 |
Cusp forms | 15168 | 3792 | 11376 |
Eisenstein series | 384 | 96 | 288 |
Decomposition of \(S_{2}^{\mathrm{new}}(8512, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8512, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8512, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(2128, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4256, [\chi])\)\(^{\oplus 2}\)