Properties

Label 2280.2.bn
Level $2280$
Weight $2$
Character orbit 2280.bn
Rep. character $\chi_{2280}(227,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $944$
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.bn (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2280 \)
Character field: \(\Q(i)\)
Sturm bound: \(960\)

Dimensions

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

Total New Old
Modular forms 976 976 0
Cusp forms 944 944 0
Eisenstein series 32 32 0

Trace form

\( 944 q - 8 q^{6} + O(q^{10}) \) \( 944 q - 8 q^{6} - 8 q^{16} - 16 q^{25} - 40 q^{28} - 24 q^{30} + 40 q^{36} + 40 q^{42} - 16 q^{43} - 16 q^{57} + 24 q^{58} + 24 q^{66} - 16 q^{73} + 80 q^{76} - 16 q^{81} + 72 q^{82} + 48 q^{96} + O(q^{100}) \)

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

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