Properties

Label 9800.2.bu
Level $9800$
Weight $2$
Character orbit 9800.bu
Rep. character $\chi_{9800}(589,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $4880$
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.bu (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 200 \)
Character field: \(\Q(\zeta_{10})\)
Sturm bound: \(3360\)

Dimensions

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

Total New Old
Modular forms 6784 4960 1824
Cusp forms 6656 4880 1776
Eisenstein series 128 80 48

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

\( S_{2}^{\mathrm{old}}(9800, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(200, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1400, [\chi])\)\(^{\oplus 2}\)