Defining parameters
Level: | \( N \) | \(=\) | \( 9126 = 2 \cdot 3^{3} \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 9126.ci (of order \(78\) and degree \(24\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1521 \) |
Character field: | \(\Q(\zeta_{78})\) | ||
Sturm bound: | \(3276\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9126, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 39600 | 4368 | 35232 |
Cusp forms | 39024 | 4368 | 34656 |
Eisenstein series | 576 | 0 | 576 |
Decomposition of \(S_{2}^{\mathrm{new}}(9126, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(9126, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9126, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(1521, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3042, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4563, [\chi])\)\(^{\oplus 2}\)