Properties

Label 9792.2.hs
Level $9792$
Weight $2$
Character orbit 9792.hs
Rep. character $\chi_{9792}(325,\cdot)$
Character field $\Q(\zeta_{16})$
Dimension $5744$
Sturm bound $3456$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 9792 = 2^{6} \cdot 3^{2} \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 9792.hs (of order \(16\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1088 \)
Character field: \(\Q(\zeta_{16})\)
Sturm bound: \(3456\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(9792, [\chi])\).

Total New Old
Modular forms 13888 5776 8112
Cusp forms 13760 5744 8016
Eisenstein series 128 32 96

Decomposition of \(S_{2}^{\mathrm{new}}(9792, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(9792, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(9792, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1088, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3264, [\chi])\)\(^{\oplus 2}\)