Defining parameters
Level: | \( N \) | \(=\) | \( 4840 = 2^{3} \cdot 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4840.cx (of order \(110\) and degree \(40\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4840 \) |
Character field: | \(\Q(\zeta_{110})\) | ||
Sturm bound: | \(1584\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4840, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 31840 | 31840 | 0 |
Cusp forms | 31520 | 31520 | 0 |
Eisenstein series | 320 | 320 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(4840, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.