Defining parameters
| Level: | \( N \) | \(=\) | \( 3762 = 2 \cdot 3^{2} \cdot 11 \cdot 19 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 3762.ep (of order \(90\) and degree \(24\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 627 \) |
| Character field: | \(\Q(\zeta_{90})\) | ||
| Sturm bound: | \(1440\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(3762, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 17664 | 1920 | 15744 |
| Cusp forms | 16896 | 1920 | 14976 |
| Eisenstein series | 768 | 0 | 768 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(3762, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(3762, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(3762, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(627, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1254, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1881, [\chi])\)\(^{\oplus 2}\)