Defining parameters
Level: | \( N \) | \(=\) | \( 4028 = 2^{2} \cdot 19 \cdot 53 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4028.ct (of order \(468\) and degree \(144\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4028 \) |
Character field: | \(\Q(\zeta_{468})\) | ||
Sturm bound: | \(1080\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4028, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 78336 | 78336 | 0 |
Cusp forms | 77184 | 77184 | 0 |
Eisenstein series | 1152 | 1152 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(4028, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.