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Properties

Label 2280.2.ca
Level $2280$
Weight $2$
Character orbit 2280.ca
Rep. character $\chi_{2280}(349,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $480$
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.ca (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 760 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(960\)

Dimensions

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

Total New Old
Modular forms 976 480 496
Cusp forms 944 480 464
Eisenstein series 32 0 32

Trace form

\( 480 q + 2 q^{4} - 2 q^{6} - 240 q^{9} + O(q^{10}) \) \( 480 q + 2 q^{4} - 2 q^{6} - 240 q^{9} - 6 q^{10} - 12 q^{14} + 2 q^{16} - 52 q^{20} + 4 q^{24} + 40 q^{26} - 80 q^{31} + 6 q^{34} + 2 q^{36} + 24 q^{40} - 56 q^{44} - 480 q^{49} - 72 q^{50} - 2 q^{54} + 24 q^{60} + 56 q^{64} - 24 q^{66} - 24 q^{70} + 16 q^{74} - 48 q^{76} - 64 q^{79} + 46 q^{80} - 240 q^{81} + 48 q^{84} + 8 q^{86} - 6 q^{90} + 172 q^{94} + 56 q^{95} + 44 q^{96} + O(q^{100}) \)

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

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