Defining parameters
| Level: | \( N \) | \(=\) | \( 3720 = 2^{3} \cdot 3 \cdot 5 \cdot 31 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 3720.cx (of order \(6\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 248 \) |
| Character field: | \(\Q(\zeta_{6})\) | ||
| Sturm bound: | \(1536\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(3720, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1552 | 512 | 1040 |
| Cusp forms | 1520 | 512 | 1008 |
| Eisenstein series | 32 | 0 | 32 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(3720, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(3720, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(3720, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(248, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(744, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1240, [\chi])\)\(^{\oplus 2}\)