Defining parameters
Level: | \( N \) | \(=\) | \( 3311 = 7 \cdot 11 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 1 \) |
Character orbit: | \([\chi]\) | \(=\) | 3311.h (of order \(2\) and degree \(1\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 3311 \) |
Character field: | \(\Q\) | ||
Newform subspaces: | \( 16 \) | ||
Sturm bound: | \(352\) | ||
Trace bound: | \(7\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(3311, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 42 | 42 | 0 |
Cusp forms | 38 | 38 | 0 |
Eisenstein series | 4 | 4 | 0 |
The following table gives the dimensions of subspaces with specified projective image type.
\(D_n\) | \(A_4\) | \(S_4\) | \(A_5\) | |
---|---|---|---|---|
Dimension | 38 | 0 | 0 | 0 |
Trace form
Decomposition of \(S_{1}^{\mathrm{new}}(3311, [\chi])\) into newform subspaces
Additional information
This newspace contains the most newforms of any with weight $1$ and level at most $4000$.