Properties

Label 2736.2.gz
Level $2736$
Weight $2$
Character orbit 2736.gz
Rep. character $\chi_{2736}(29,\cdot)$
Character field $\Q(\zeta_{36})$
Dimension $5712$
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.gz (of order \(36\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2736 \)
Character field: \(\Q(\zeta_{36})\)
Sturm bound: \(960\)

Dimensions

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

Total New Old
Modular forms 5808 5808 0
Cusp forms 5712 5712 0
Eisenstein series 96 96 0

Trace form

\( 5712q - 18q^{2} - 12q^{3} - 6q^{4} - 18q^{5} - 12q^{6} + O(q^{10}) \) \( 5712q - 18q^{2} - 12q^{3} - 6q^{4} - 18q^{5} - 12q^{6} - 24q^{10} - 18q^{12} - 6q^{13} - 18q^{14} - 24q^{15} - 6q^{16} - 24q^{19} - 36q^{20} - 30q^{21} - 6q^{22} - 12q^{24} + 144q^{26} - 18q^{27} - 18q^{29} + 78q^{30} - 18q^{32} - 24q^{33} - 6q^{34} - 90q^{35} - 12q^{36} - 18q^{38} - 6q^{40} - 108q^{42} - 6q^{43} - 198q^{44} - 6q^{45} - 36q^{46} - 36q^{47} - 12q^{48} + 2724q^{49} - 36q^{50} - 12q^{51} - 6q^{52} - 78q^{54} - 126q^{56} - 12q^{58} - 18q^{59} - 96q^{60} - 6q^{61} + 36q^{62} - 108q^{63} - 12q^{64} - 72q^{65} - 132q^{66} - 6q^{67} - 18q^{68} - 18q^{69} - 90q^{70} - 144q^{72} + 234q^{74} - 6q^{76} - 36q^{77} - 12q^{79} - 24q^{81} - 24q^{82} - 18q^{83} - 18q^{84} - 6q^{85} - 18q^{86} - 18q^{88} + 96q^{90} + 18q^{91} - 18q^{92} + 24q^{93} - 36q^{95} + 126q^{96} - 12q^{97} - 90q^{98} - 120q^{99} + O(q^{100}) \)

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

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