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Properties

Label 2280.2.c
Level $2280$
Weight $2$
Character orbit 2280.c
Rep. character $\chi_{2280}(1331,\cdot)$
Character field $\Q$
Dimension $288$
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.c (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 24 \)
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 488 288 200
Cusp forms 472 288 184
Eisenstein series 16 0 16

Trace form

\( 288 q + 12 q^{6} + O(q^{10}) \) \( 288 q + 12 q^{6} + 32 q^{12} + 32 q^{16} - 8 q^{18} - 56 q^{22} + 12 q^{24} + 288 q^{25} + 48 q^{27} + 8 q^{28} + 8 q^{30} - 24 q^{34} - 20 q^{36} + 20 q^{42} + 32 q^{46} + 12 q^{48} - 288 q^{49} - 80 q^{51} - 48 q^{52} + 40 q^{58} + 28 q^{60} - 96 q^{64} - 16 q^{66} + 128 q^{67} - 52 q^{72} - 64 q^{78} - 16 q^{81} - 24 q^{82} - 48 q^{84} + 16 q^{88} - 96 q^{91} + 144 q^{94} + 76 q^{96} - 32 q^{99} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2280, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(24, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(120, [\chi])\)\(^{\oplus 2}\)