Defining parameters
Level: | \( N \) | \(=\) | \( 6275 = 5^{2} \cdot 251 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6275.dq (of order \(500\) and degree \(200\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 6275 \) |
Character field: | \(\Q(\zeta_{500})\) | ||
Sturm bound: | \(1260\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6275, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 126400 | 126400 | 0 |
Cusp forms | 125600 | 125600 | 0 |
Eisenstein series | 800 | 800 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(6275, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.