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Properties

Label 1872.2.gn
Level $1872$
Weight $2$
Character orbit 1872.gn
Rep. character $\chi_{1872}(155,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $1328$
Sturm bound $672$

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Defining parameters

Level: \( N \) \(=\) \( 1872 = 2^{4} \cdot 3^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1872.gn (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1872 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(672\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1872, [\chi])\).

Total New Old
Modular forms 1360 1360 0
Cusp forms 1328 1328 0
Eisenstein series 32 32 0

Trace form

\( 1328 q - 8 q^{3} - 4 q^{4} + O(q^{10}) \) \( 1328 q - 8 q^{3} - 4 q^{4} - 16 q^{10} + 16 q^{12} - 2 q^{13} - 12 q^{14} - 4 q^{16} - 4 q^{22} - 24 q^{23} + 16 q^{27} - 12 q^{29} - 16 q^{30} - 12 q^{36} - 12 q^{38} + 16 q^{39} - 4 q^{40} - 12 q^{42} - 4 q^{43} - 40 q^{48} + 608 q^{49} + 16 q^{51} - 2 q^{52} - 32 q^{55} - 96 q^{56} - 4 q^{61} - 88 q^{64} - 12 q^{65} - 44 q^{66} - 120 q^{68} - 20 q^{69} + 156 q^{74} - 40 q^{75} - 12 q^{77} - 84 q^{78} - 16 q^{81} + 40 q^{82} - 16 q^{87} - 28 q^{88} + 44 q^{90} - 36 q^{91} - 12 q^{92} - 20 q^{94} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1872, [\chi])\) into newform subspaces

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