Defining parameters
Level: | \( N \) | \(=\) | \( 5148 = 2^{2} \cdot 3^{2} \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 5148.ie (of order \(60\) and degree \(16\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 5148 \) |
Character field: | \(\Q(\zeta_{60})\) | ||
Sturm bound: | \(2016\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5148, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 16256 | 16256 | 0 |
Cusp forms | 16000 | 16000 | 0 |
Eisenstein series | 256 | 256 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(5148, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.