Properties

Label 1140.2.cm
Level $1140$
Weight $2$
Character orbit 1140.cm
Rep. character $\chi_{1140}(143,\cdot)$
Character field $\Q(\zeta_{36})$
Dimension $2784$
Sturm bound $480$

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Defining parameters

Level: \( N \) \(=\) \( 1140 = 2^{2} \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1140.cm (of order \(36\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1140 \)
Character field: \(\Q(\zeta_{36})\)
Sturm bound: \(480\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1140, [\chi])\).

Total New Old
Modular forms 2976 2976 0
Cusp forms 2784 2784 0
Eisenstein series 192 192 0

Trace form

\( 2784q - 24q^{6} + O(q^{10}) \) \( 2784q - 24q^{6} - 24q^{10} - 18q^{12} - 48q^{13} - 60q^{16} - 48q^{21} - 48q^{25} + 24q^{28} - 6q^{30} + 12q^{33} - 24q^{36} - 24q^{40} - 48q^{42} - 12q^{45} - 72q^{46} + 72q^{48} - 24q^{52} - 24q^{57} + 96q^{58} - 12q^{60} - 96q^{61} + 48q^{66} - 24q^{70} - 60q^{72} - 48q^{73} + 24q^{76} + 30q^{78} - 48q^{81} - 312q^{82} - 48q^{85} - 36q^{88} - 12q^{90} + 12q^{93} - 144q^{96} - 48q^{97} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1140, [\chi])\) into newform subspaces

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