Defining parameters
Level: | \( N \) | \(=\) | \( 1428 = 2^{2} \cdot 3 \cdot 7 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1428.cy (of order \(48\) and degree \(16\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 357 \) |
Character field: | \(\Q(\zeta_{48})\) | ||
Sturm bound: | \(576\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(1428, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 4800 | 768 | 4032 |
Cusp forms | 4416 | 768 | 3648 |
Eisenstein series | 384 | 0 | 384 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(1428, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(1428, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(1428, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(357, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(714, [\chi])\)\(^{\oplus 2}\)