Properties

Label 2760.2.w
Level $2760$
Weight $2$
Character orbit 2760.w
Rep. character $\chi_{2760}(2069,\cdot)$
Character field $\Q$
Dimension $568$
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.w (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2760 \)
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 584 584 0
Cusp forms 568 568 0
Eisenstein series 16 16 0

Trace form

\( 568q - 12q^{4} + 4q^{6} - 8q^{9} + O(q^{10}) \) \( 568q - 12q^{4} + 4q^{6} - 8q^{9} - 12q^{16} + 8q^{24} - 8q^{25} - 32q^{31} - 20q^{36} - 32q^{39} - 8q^{46} + 504q^{49} - 48q^{54} + 32q^{55} - 36q^{64} + 8q^{81} + 24q^{94} + 84q^{96} + O(q^{100}) \)

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

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