Defining parameters
Level: | \( N \) | \(=\) | \( 1862 = 2 \cdot 7^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1862.bm (of order \(21\) and degree \(12\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 931 \) |
Character field: | \(\Q(\zeta_{21})\) | ||
Sturm bound: | \(560\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(1862, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 3408 | 1152 | 2256 |
Cusp forms | 3312 | 1152 | 2160 |
Eisenstein series | 96 | 0 | 96 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(1862, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(1862, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(1862, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(931, [\chi])\)\(^{\oplus 2}\)