Defining parameters
Level: | \( N \) | \(=\) | \( 9282 = 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 9282.gk (of order \(12\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 273 \) |
Character field: | \(\Q(\zeta_{12})\) | ||
Sturm bound: | \(4032\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9282, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 8128 | 2384 | 5744 |
Cusp forms | 8000 | 2384 | 5616 |
Eisenstein series | 128 | 0 | 128 |
Decomposition of \(S_{2}^{\mathrm{new}}(9282, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(9282, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9282, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(273, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(546, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4641, [\chi])\)\(^{\oplus 2}\)