Defining parameters
| Level: | \( N \) | \(=\) | \( 2370 = 2 \cdot 3 \cdot 5 \cdot 79 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 2370.bh (of order \(52\) and degree \(24\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 395 \) |
| Character field: | \(\Q(\zeta_{52})\) | ||
| Sturm bound: | \(960\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(2370, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 11712 | 1920 | 9792 |
| Cusp forms | 11328 | 1920 | 9408 |
| Eisenstein series | 384 | 0 | 384 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(2370, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(2370, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(2370, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(395, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(790, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1185, [\chi])\)\(^{\oplus 2}\)