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Properties

Label 2280.2.ds
Level $2280$
Weight $2$
Character orbit 2280.ds
Rep. character $\chi_{2280}(197,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $1888$
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.ds (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2280 \)
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 1952 0
Cusp forms 1888 1888 0
Eisenstein series 64 64 0

Trace form

\( 1888 q - 4 q^{6} - 32 q^{7} + O(q^{10}) \) \( 1888 q - 4 q^{6} - 32 q^{7} - 4 q^{10} + 4 q^{12} - 4 q^{15} - 4 q^{16} + 28 q^{18} - 12 q^{22} - 8 q^{25} + 12 q^{28} + 12 q^{30} - 32 q^{31} - 16 q^{33} - 52 q^{36} - 4 q^{40} - 18 q^{42} - 96 q^{46} + 28 q^{52} - 48 q^{55} + 4 q^{57} + 64 q^{58} - 18 q^{60} + 24 q^{63} - 44 q^{66} - 140 q^{70} - 18 q^{72} - 8 q^{73} - 8 q^{76} - 36 q^{78} - 8 q^{81} + 28 q^{82} - 152 q^{87} - 96 q^{88} - 38 q^{90} + 88 q^{96} - 8 q^{97} + O(q^{100}) \)

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.