Properties

Label 9600.2.gf
Level $9600$
Weight $2$
Character orbit 9600.gf
Rep. character $\chi_{9600}(67,\cdot)$
Character field $\Q(\zeta_{160})$
Dimension $61440$
Sturm bound $3840$

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Defining parameters

Level: \( N \) \(=\) \( 9600 = 2^{7} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 9600.gf (of order \(160\) and degree \(64\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3200 \)
Character field: \(\Q(\zeta_{160})\)
Sturm bound: \(3840\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(9600, [\chi])\).

Total New Old
Modular forms 123136 61440 61696
Cusp forms 122624 61440 61184
Eisenstein series 512 0 512

Decomposition of \(S_{2}^{\mathrm{new}}(9600, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(9600, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(9600, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(3200, [\chi])\)\(^{\oplus 2}\)