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Properties

Label 2760.2.df
Level $2760$
Weight $2$
Character orbit 2760.df
Rep. character $\chi_{2760}(83,\cdot)$
Character field $\Q(\zeta_{44})$
Dimension $11360$
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.df (of order \(44\) and degree \(20\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2760 \)
Character field: \(\Q(\zeta_{44})\)
Sturm bound: \(1152\)

Dimensions

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

Total New Old
Modular forms 11680 11680 0
Cusp forms 11360 11360 0
Eisenstein series 320 320 0

Trace form

\( 11360 q - 36 q^{3} - 36 q^{6} + O(q^{10}) \) \( 11360 q - 36 q^{3} - 36 q^{6} - 44 q^{10} - 30 q^{12} - 80 q^{16} - 10 q^{18} - 72 q^{25} - 36 q^{27} - 44 q^{28} - 22 q^{30} - 44 q^{33} - 68 q^{36} - 44 q^{40} - 22 q^{42} - 88 q^{43} - 48 q^{46} + 46 q^{48} - 88 q^{51} - 184 q^{52} - 44 q^{57} - 84 q^{58} - 22 q^{60} - 44 q^{66} - 88 q^{67} - 80 q^{70} + 14 q^{72} - 72 q^{73} - 36 q^{75} - 88 q^{76} - 10 q^{78} - 104 q^{81} - 12 q^{82} - 44 q^{88} + 396 q^{90} - 36 q^{96} - 88 q^{97} + O(q^{100}) \)

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.