Defining parameters
Level: | \( N \) | \(=\) | \( 25 = 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 36 \) |
Character orbit: | \([\chi]\) | \(=\) | 25.d (of order \(5\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 25 \) |
Character field: | \(\Q(\zeta_{5})\) | ||
Sturm bound: | \(90\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{36}(25, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 356 | 356 | 0 |
Cusp forms | 348 | 348 | 0 |
Eisenstein series | 8 | 8 | 0 |
Trace form
Decomposition of \(S_{36}^{\mathrm{new}}(25, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.