Properties

Label 2268.2.cm
Level $2268$
Weight $2$
Character orbit 2268.cm
Rep. character $\chi_{2268}(193,\cdot)$
Character field $\Q(\zeta_{27})$
Dimension $1296$
Sturm bound $864$

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Defining parameters

Level: \( N \) \(=\) \( 2268 = 2^{2} \cdot 3^{4} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2268.cm (of order \(27\) and degree \(18\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 567 \)
Character field: \(\Q(\zeta_{27})\)
Sturm bound: \(864\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2268, [\chi])\).

Total New Old
Modular forms 7884 1296 6588
Cusp forms 7668 1296 6372
Eisenstein series 216 0 216

Trace form

\( 1296 q + O(q^{10}) \) \( 1296 q + 27 q^{21} - 27 q^{23} - 108 q^{33} - 54 q^{35} + 18 q^{41} - 108 q^{47} - 54 q^{63} + 18 q^{65} + 18 q^{69} - 72 q^{71} + 72 q^{77} - 108 q^{79} + 54 q^{85} + 144 q^{87} + 36 q^{93} - 108 q^{95} + 18 q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2268, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2268, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2268, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(567, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1134, [\chi])\)\(^{\oplus 2}\)