Properties

Label 2760.2.bs
Level $2760$
Weight $2$
Character orbit 2760.bs
Rep. character $\chi_{2760}(827,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $1136$
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.bs (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2760 \)
Character field: \(\Q(i)\)
Sturm bound: \(1152\)

Dimensions

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

Total New Old
Modular forms 1168 1168 0
Cusp forms 1136 1136 0
Eisenstein series 32 32 0

Trace form

\( 1136q - 8q^{3} - 8q^{6} + O(q^{10}) \) \( 1136q - 8q^{3} - 8q^{6} + 8q^{12} - 8q^{16} - 12q^{18} - 16q^{25} - 8q^{27} + 24q^{36} - 40q^{46} - 68q^{48} - 80q^{52} + 40q^{58} - 8q^{70} - 36q^{72} - 16q^{73} - 8q^{75} - 12q^{78} + 16q^{81} - 32q^{82} - 8q^{96} + O(q^{100}) \)

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

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