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Properties

Label 3744.2.jb
Level $3744$
Weight $2$
Character orbit 3744.jb
Rep. character $\chi_{3744}(493,\cdot)$
Character field $\Q(\zeta_{24})$
Dimension $5344$
Sturm bound $1344$

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Defining parameters

Level: \( N \) \(=\) \( 3744 = 2^{5} \cdot 3^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 3744.jb (of order \(24\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3744 \)
Character field: \(\Q(\zeta_{24})\)
Sturm bound: \(1344\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3744, [\chi])\).

Total New Old
Modular forms 5408 5408 0
Cusp forms 5344 5344 0
Eisenstein series 64 64 0

Trace form

\( 5344 q - 16 q^{3} - 8 q^{4} - 16 q^{9} + O(q^{10}) \) \( 5344 q - 16 q^{3} - 8 q^{4} - 16 q^{9} - 32 q^{10} - 16 q^{12} - 4 q^{13} - 8 q^{14} - 8 q^{16} - 8 q^{22} - 8 q^{23} - 8 q^{25} - 16 q^{26} + 32 q^{27} - 8 q^{29} - 32 q^{35} - 40 q^{36} - 8 q^{38} + 16 q^{39} - 8 q^{40} - 56 q^{42} - 8 q^{43} + 88 q^{48} + 32 q^{51} - 4 q^{52} - 32 q^{53} - 32 q^{55} + 72 q^{56} - 8 q^{61} - 112 q^{62} - 32 q^{64} - 8 q^{65} - 160 q^{66} + 24 q^{68} - 16 q^{69} - 8 q^{74} + 24 q^{75} - 8 q^{77} - 72 q^{78} - 32 q^{82} - 16 q^{87} - 8 q^{88} - 160 q^{90} - 16 q^{91} - 8 q^{92} + 24 q^{94} - 272 q^{95} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(3744, [\chi])\) into newform subspaces

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