Properties

Label 2736.2.ee
Level $2736$
Weight $2$
Character orbit 2736.ee
Rep. character $\chi_{2736}(797,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $1904$
Sturm bound $960$

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Defining parameters

Level: \( N \) \(=\) \( 2736 = 2^{4} \cdot 3^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2736.ee (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2736 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(960\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2736, [\chi])\).

Total New Old
Modular forms 1936 1936 0
Cusp forms 1904 1904 0
Eisenstein series 32 32 0

Trace form

\( 1904q - 4q^{4} - 12q^{5} - 8q^{6} + O(q^{10}) \) \( 1904q - 4q^{4} - 12q^{5} - 8q^{6} - 12q^{11} - 4q^{16} - 8q^{19} + 72q^{20} + 8q^{24} - 48q^{28} + 28q^{30} - 24q^{36} - 6q^{38} - 72q^{42} - 4q^{43} + 12q^{45} - 24q^{47} + 896q^{49} - 52q^{54} - 4q^{58} - 4q^{61} - 72q^{63} - 16q^{64} + 8q^{66} + 36q^{68} - 180q^{74} + 10q^{76} - 12q^{77} - 16q^{81} - 32q^{82} - 12q^{83} + 16q^{85} - 12q^{92} - 20q^{93} - 12q^{95} + 84q^{96} - 4q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2736, [\chi])\) into newform subspaces

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