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Properties

Label 2760.2.r
Level $2760$
Weight $2$
Character orbit 2760.r
Rep. character $\chi_{2760}(91,\cdot)$
Character field $\Q$
Dimension $192$
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.r (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 184 \)
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 584 192 392
Cusp forms 568 192 376
Eisenstein series 16 0 16

Trace form

\( 192 q + 8 q^{2} - 12 q^{4} + 4 q^{6} + 8 q^{8} + 192 q^{9} + O(q^{10}) \) \( 192 q + 8 q^{2} - 12 q^{4} + 4 q^{6} + 8 q^{8} + 192 q^{9} - 12 q^{16} + 8 q^{18} + 4 q^{24} + 192 q^{25} + 40 q^{26} - 32 q^{32} - 12 q^{36} + 36 q^{46} - 32 q^{48} + 192 q^{49} + 8 q^{50} - 32 q^{52} + 4 q^{54} + 32 q^{58} + 48 q^{62} + 36 q^{64} + 8 q^{72} + 192 q^{81} + 40 q^{82} + 40 q^{92} + 88 q^{94} + 4 q^{96} + 96 q^{98} + O(q^{100}) \)

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

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