Properties

Label 2280.2.m
Level $2280$
Weight $2$
Character orbit 2280.m
Rep. character $\chi_{2280}(1709,\cdot)$
Character field $\Q$
Dimension $472$
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.m (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2280 \)
Character field: \(\Q\)
Sturm bound: \(960\)

Dimensions

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

Total New Old
Modular forms 488 488 0
Cusp forms 472 472 0
Eisenstein series 16 16 0

Trace form

\( 472q - 4q^{4} - 12q^{6} - 8q^{9} + O(q^{10}) \) \( 472q - 4q^{4} - 12q^{6} - 8q^{9} - 12q^{16} - 52q^{24} - 8q^{25} - 16q^{30} - 28q^{36} + 16q^{39} - 440q^{49} - 20q^{54} - 48q^{55} - 52q^{64} - 16q^{66} + 36q^{76} - 8q^{81} - 60q^{96} + O(q^{100}) \)

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

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