Properties

Label 2280.2.ev
Level $2280$
Weight $2$
Character orbit 2280.ev
Rep. character $\chi_{2280}(131,\cdot)$
Character field $\Q(\zeta_{18})$
Dimension $1920$
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.ev (of order \(18\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 456 \)
Character field: \(\Q(\zeta_{18})\)
Sturm bound: \(960\)

Dimensions

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

Total New Old
Modular forms 2928 1920 1008
Cusp forms 2832 1920 912
Eisenstein series 96 0 96

Trace form

\( 1920q - 6q^{4} + O(q^{10}) \) \( 1920q - 6q^{4} + 6q^{10} - 6q^{16} + 24q^{30} + 42q^{34} - 120q^{36} + 54q^{42} - 66q^{48} + 960q^{49} - 48q^{52} - 66q^{54} + 42q^{64} + 60q^{66} + 72q^{70} - 84q^{72} + 48q^{73} + 204q^{76} - 60q^{78} - 24q^{81} + 48q^{88} - 54q^{90} + 24q^{94} - 252q^{96} + O(q^{100}) \)

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

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

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

\( S_{2}^{\mathrm{old}}(2280, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(456, [\chi])\)\(^{\oplus 2}\)