Defining parameters
Level: | \( N \) | \(=\) | \( 10000 = 2^{4} \cdot 5^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 10000.cg (of order \(100\) and degree \(40\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2000 \) |
Character field: | \(\Q(\zeta_{100})\) | ||
Sturm bound: | \(3000\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(10000, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 60400 | 36240 | 24160 |
Cusp forms | 59600 | 35760 | 23840 |
Eisenstein series | 800 | 480 | 320 |
Decomposition of \(S_{2}^{\mathrm{new}}(10000, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(10000, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(10000, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2000, [\chi])\)\(^{\oplus 2}\)