Properties

Label 9800.2.ey
Level $9800$
Weight $2$
Character orbit 9800.ey
Rep. character $\chi_{9800}(299,\cdot)$
Character field $\Q(\zeta_{42})$
Dimension $12048$
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.ey (of order \(42\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1960 \)
Character field: \(\Q(\zeta_{42})\)
Sturm bound: \(3360\)

Dimensions

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

Total New Old
Modular forms 20304 12144 8160
Cusp forms 20016 12048 7968
Eisenstein series 288 96 192

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

\( S_{2}^{\mathrm{old}}(9800, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1960, [\chi])\)\(^{\oplus 2}\)