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Properties

Label 2760.2.c
Level $2760$
Weight $2$
Character orbit 2760.c
Rep. character $\chi_{2760}(2531,\cdot)$
Character field $\Q$
Dimension $352$
Sturm bound $1152$

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Defining parameters

Level: \( N \) \(=\) \( 2760 = 2^{3} \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2760.c (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 24 \)
Character field: \(\Q\)
Sturm bound: \(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2760, [\chi])\).

Total New Old
Modular forms 584 352 232
Cusp forms 568 352 216
Eisenstein series 16 0 16

Trace form

\( 352 q + 6 q^{6} + O(q^{10}) \) \( 352 q + 6 q^{6} + 26 q^{12} - 14 q^{18} - 24 q^{22} + 4 q^{24} + 352 q^{25} + 24 q^{27} - 24 q^{28} + 16 q^{30} + 16 q^{33} - 24 q^{34} - 22 q^{36} - 24 q^{42} - 38 q^{48} - 320 q^{49} - 80 q^{51} - 12 q^{52} - 52 q^{54} + 16 q^{57} + 36 q^{58} + 28 q^{60} - 36 q^{64} + 44 q^{66} - 24 q^{70} + 44 q^{72} + 32 q^{73} - 16 q^{76} - 6 q^{78} - 16 q^{81} + 4 q^{82} - 56 q^{84} - 40 q^{88} - 36 q^{90} - 96 q^{91} + 84 q^{94} + 74 q^{96} - 32 q^{97} - 64 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2760, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2760, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2760, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(24, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(120, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(552, [\chi])\)\(^{\oplus 2}\)