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Properties

Label 2280.2.ba
Level $2280$
Weight $2$
Character orbit 2280.ba
Rep. character $\chi_{2280}(379,\cdot)$
Character field $\Q$
Dimension $240$
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.ba (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 760 \)
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 488 240 248
Cusp forms 472 240 232
Eisenstein series 16 0 16

Trace form

\( 240 q + 4 q^{4} + 4 q^{6} + 240 q^{9} + O(q^{10}) \) \( 240 q + 4 q^{4} + 4 q^{6} + 240 q^{9} + 4 q^{16} - 8 q^{19} + 8 q^{20} + 4 q^{24} - 40 q^{26} - 48 q^{35} + 4 q^{36} - 56 q^{44} + 240 q^{49} + 4 q^{54} + 52 q^{64} + 24 q^{66} + 32 q^{74} + 32 q^{76} + 80 q^{80} + 240 q^{81} + 44 q^{96} + O(q^{100}) \)

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

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