Defining parameters
Level: | \( N \) | \(=\) | \( 10000 = 2^{4} \cdot 5^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 10000.da (of order \(500\) and degree \(200\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 10000 \) |
Character field: | \(\Q(\zeta_{500})\) | ||
Sturm bound: | \(3000\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(10000, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 300400 | 300400 | 0 |
Cusp forms | 299600 | 299600 | 0 |
Eisenstein series | 800 | 800 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(10000, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.