Properties

Label 9800.2.dj
Level $9800$
Weight $2$
Character orbit 9800.dj
Rep. character $\chi_{9800}(1077,\cdot)$
Character field $\Q(\zeta_{20})$
Dimension $9536$
Sturm bound $3360$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 9800 = 2^{3} \cdot 5^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 9800.dj (of order \(20\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1400 \)
Character field: \(\Q(\zeta_{20})\)
Sturm bound: \(3360\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(9800, [\chi])\).

Total New Old
Modular forms 13568 9664 3904
Cusp forms 13312 9536 3776
Eisenstein series 256 128 128

Decomposition of \(S_{2}^{\mathrm{new}}(9800, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.

Decomposition of \(S_{2}^{\mathrm{old}}(9800, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(9800, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1400, [\chi])\)\(^{\oplus 2}\)