Properties

Label 9576.2.va
Level $9576$
Weight $2$
Character orbit 9576.va
Rep. character $\chi_{9576}(1891,\cdot)$
Character field $\Q(\zeta_{18})$
Dimension $3600$
Sturm bound $3840$

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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.va (of order \(18\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 152 \)
Character field: \(\Q(\zeta_{18})\)
Sturm bound: \(3840\)

Dimensions

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

Total New Old
Modular forms 11616 3600 8016
Cusp forms 11424 3600 7824
Eisenstein series 192 0 192

Decomposition of \(S_{2}^{\mathrm{new}}(9576, [\chi])\) into newform subspaces

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

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

\( S_{2}^{\mathrm{old}}(9576, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(152, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(456, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1064, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1368, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3192, [\chi])\)\(^{\oplus 2}\)