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Properties

Label 2280.2.dk
Level $2280$
Weight $2$
Character orbit 2280.dk
Rep. character $\chi_{2280}(373,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $960$
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.dk (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 760 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(960\)

Dimensions

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

Total New Old
Modular forms 1952 960 992
Cusp forms 1888 960 928
Eisenstein series 64 0 64

Trace form

\( 960 q - 4 q^{6} + O(q^{10}) \) \( 960 q - 4 q^{6} - 4 q^{16} + 80 q^{20} + 12 q^{28} - 60 q^{32} + 4 q^{36} - 32 q^{38} + 60 q^{40} + 48 q^{47} - 40 q^{58} + 20 q^{62} + 48 q^{66} + 56 q^{68} + 36 q^{72} - 80 q^{76} - 72 q^{78} + 40 q^{80} + 480 q^{81} - 28 q^{82} + 36 q^{90} - 20 q^{92} - 48 q^{95} - 88 q^{96} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

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

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

Decomposition of \(S_{2}^{\mathrm{old}}(2280, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2280, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(760, [\chi])\)\(^{\oplus 2}\)