Properties

Label 9576.2.id
Level $9576$
Weight $2$
Character orbit 9576.id
Rep. character $\chi_{9576}(487,\cdot)$
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.id (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 532 \)
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 3904 0 3904
Cusp forms 3776 0 3776
Eisenstein series 128 0 128

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

\( S_{2}^{\mathrm{old}}(9576, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(532, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1596, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4788, [\chi])\)\(^{\oplus 2}\)