Properties

Label 2760.2.cl
Level $2760$
Weight $2$
Character orbit 2760.cl
Rep. character $\chi_{2760}(451,\cdot)$
Character field $\Q(\zeta_{22})$
Dimension $1920$
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.cl (of order \(22\) and degree \(10\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 184 \)
Character field: \(\Q(\zeta_{22})\)
Sturm bound: \(1152\)

Dimensions

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

Total New Old
Modular forms 5840 1920 3920
Cusp forms 5680 1920 3760
Eisenstein series 160 0 160

Trace form

\( 1920q - 8q^{2} + 12q^{4} - 4q^{6} - 8q^{8} - 192q^{9} + O(q^{10}) \) \( 1920q - 8q^{2} + 12q^{4} - 4q^{6} - 8q^{8} - 192q^{9} + 12q^{16} - 8q^{18} - 4q^{24} - 192q^{25} - 40q^{26} + 32q^{32} + 22q^{34} - 32q^{36} + 220q^{38} - 22q^{40} - 44q^{44} + 140q^{46} - 144q^{48} - 192q^{49} + 36q^{50} + 32q^{52} + 18q^{54} - 220q^{56} + 12q^{58} - 22q^{60} - 48q^{62} - 36q^{64} - 8q^{72} + 44q^{74} - 192q^{81} + 224q^{82} + 352q^{88} + 356q^{92} + 308q^{94} - 4q^{96} + 256q^{98} + O(q^{100}) \)

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

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

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

\( S_{2}^{\mathrm{old}}(2760, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(184, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(552, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(920, [\chi])\)\(^{\oplus 2}\)