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Properties

Label 1134.2.bg
Level $1134$
Weight $2$
Character orbit 1134.bg
Rep. character $\chi_{1134}(67,\cdot)$
Character field $\Q(\zeta_{27})$
Dimension $1296$
Sturm bound $432$

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Defining parameters

Level: \( N \) \(=\) \( 1134 = 2 \cdot 3^{4} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1134.bg (of order \(27\) and degree \(18\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 567 \)
Character field: \(\Q(\zeta_{27})\)
Sturm bound: \(432\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1134, [\chi])\).

Total New Old
Modular forms 3960 1296 2664
Cusp forms 3816 1296 2520
Eisenstein series 144 0 144

Trace form

\( 1296 q + O(q^{10}) \) \( 1296 q - 54 q^{21} + 54 q^{23} - 108 q^{26} - 108 q^{30} + 216 q^{33} + 108 q^{35} + 18 q^{41} - 108 q^{47} - 54 q^{63} - 36 q^{65} - 72 q^{66} + 18 q^{69} + 108 q^{70} + 144 q^{71} - 36 q^{72} - 144 q^{77} + 144 q^{78} + 216 q^{79} - 36 q^{80} - 18 q^{84} - 108 q^{85} - 72 q^{86} - 288 q^{87} + 72 q^{92} - 72 q^{93} + 216 q^{94} - 108 q^{95} - 36 q^{98} + 126 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1134, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1134, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1134, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(567, [\chi])\)\(^{\oplus 2}\)