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Properties

Label 1872.2.ee
Level $1872$
Weight $2$
Character orbit 1872.ee
Rep. character $\chi_{1872}(245,\cdot)$
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.ee (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

\( 1328 q - 6 q^{2} - 2 q^{3} + 16 q^{6} - 18 q^{8} + O(q^{10}) \) \( 1328 q - 6 q^{2} - 2 q^{3} + 16 q^{6} - 18 q^{8} - 8 q^{10} - 2 q^{13} - 12 q^{14} - 8 q^{15} - 4 q^{16} - 6 q^{18} - 4 q^{19} - 6 q^{20} - 2 q^{21} - 4 q^{22} - 632 q^{25} + 60 q^{26} + 28 q^{27} - 16 q^{28} - 16 q^{30} - 4 q^{31} - 6 q^{32} - 8 q^{33} + 6 q^{34} + 30 q^{35} - 28 q^{36} - 4 q^{37} - 48 q^{38} - 4 q^{40} - 34 q^{42} - 6 q^{43} + 24 q^{44} - 12 q^{45} - 4 q^{46} - 12 q^{47} + 18 q^{48} - 12 q^{49} - 54 q^{50} - 2 q^{52} + 30 q^{54} + 60 q^{55} - 6 q^{56} + 12 q^{57} + 50 q^{58} + 2 q^{60} + 2 q^{61} + 18 q^{62} - 36 q^{63} - 12 q^{65} + 8 q^{66} + 2 q^{67} + 42 q^{68} - 6 q^{69} + 8 q^{70} + 36 q^{72} - 90 q^{74} + 32 q^{75} - 10 q^{76} - 8 q^{79} - 162 q^{80} - 4 q^{81} - 12 q^{82} - 12 q^{83} + 78 q^{84} - 24 q^{85} + 102 q^{86} + 32 q^{88} + 24 q^{90} + 6 q^{91} - 12 q^{92} - 86 q^{93} + 2 q^{94} - 24 q^{95} - 16 q^{96} - 4 q^{97} - 12 q^{98} + 54 q^{99} + O(q^{100}) \)

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.