Properties

Label 9576.2.kr
Level $9576$
Weight $2$
Character orbit 9576.kr
Rep. character $\chi_{9576}(2927,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $0$
Newform subspaces $0$
Sturm bound $3840$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 9576 = 2^{3} \cdot 3^{2} \cdot 7 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 9576.kr (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 36 \)
Character field: \(\Q(\zeta_{6})\)
Newform subspaces: \( 0 \)
Sturm bound: \(3840\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(9576, [\chi])\).

Total New Old
Modular forms 3872 0 3872
Cusp forms 3808 0 3808
Eisenstein series 64 0 64

Decomposition of \(S_{2}^{\mathrm{old}}(9576, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(9576, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(36, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(252, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(684, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4788, [\chi])\)\(^{\oplus 2}\)