Defining parameters
Level: | \( N \) | \(=\) | \( 3004 = 2^{2} \cdot 751 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 3004.d (of order \(2\) and degree \(1\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 3004 \) |
Character field: | \(\Q\) | ||
Sturm bound: | \(752\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(3004, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 378 | 378 | 0 |
Cusp forms | 374 | 374 | 0 |
Eisenstein series | 4 | 4 | 0 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(3004, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.