Properties

Label 2280.2.fa
Level $2280$
Weight $2$
Character orbit 2280.fa
Rep. character $\chi_{2280}(557,\cdot)$
Character field $\Q(\zeta_{36})$
Dimension $5664$
Sturm bound $960$

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Defining parameters

Level: \( N \) \(=\) \( 2280 = 2^{3} \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2280.fa (of order \(36\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2280 \)
Character field: \(\Q(\zeta_{36})\)
Sturm bound: \(960\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2280, [\chi])\).

Total New Old
Modular forms 5856 5856 0
Cusp forms 5664 5664 0
Eisenstein series 192 192 0

Trace form

\( 5664q - 24q^{6} - 24q^{7} + O(q^{10}) \) \( 5664q - 24q^{6} - 24q^{7} - 24q^{10} - 6q^{12} - 24q^{15} - 60q^{16} - 24q^{18} - 48q^{25} - 72q^{28} - 6q^{30} - 48q^{31} + 12q^{33} - 24q^{36} - 24q^{40} + 24q^{42} - 24q^{46} + 72q^{48} - 24q^{52} + 72q^{55} - 24q^{57} - 192q^{58} - 12q^{60} - 108q^{63} + 48q^{66} - 24q^{70} + 36q^{72} - 48q^{73} + 24q^{76} - 18q^{78} - 48q^{81} + 264q^{82} - 12q^{87} + 180q^{88} - 12q^{90} + 48q^{96} - 48q^{97} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2280, [\chi])\) into newform subspaces

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