Defining parameters
Level: | \( N \) | \(=\) | \( 325 = 5^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 325.y (of order \(15\) and degree \(8\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 325 \) |
Character field: | \(\Q(\zeta_{15})\) | ||
Sturm bound: | \(210\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{6}(325, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1408 | 1408 | 0 |
Cusp forms | 1376 | 1376 | 0 |
Eisenstein series | 32 | 32 | 0 |
Trace form
Decomposition of \(S_{6}^{\mathrm{new}}(325, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.