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Properties

Label 1872.4.ee
Level $1872$
Weight $4$
Character orbit 1872.ee
Rep. character $\chi_{1872}(245,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $4016$
Sturm bound $1344$

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Defining parameters

Level: \( N \) \(=\) \( 1872 = 2^{4} \cdot 3^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 1872.ee (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1872 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(1344\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(1872, [\chi])\).

Total New Old
Modular forms 4048 4048 0
Cusp forms 4016 4016 0
Eisenstein series 32 32 0

Trace form

\( 4016 q - 6 q^{2} - 2 q^{3} - 32 q^{6} - 18 q^{8} + O(q^{10}) \) \( 4016 q - 6 q^{2} - 2 q^{3} - 32 q^{6} - 18 q^{8} + 4 q^{10} - 2 q^{13} - 12 q^{14} - 8 q^{15} - 4 q^{16} - 174 q^{18} - 4 q^{19} - 6 q^{20} + 46 q^{21} - 4 q^{22} - 480 q^{24} - 49400 q^{25} - 768 q^{26} - 404 q^{27} - 136 q^{28} - 256 q^{30} - 4 q^{31} - 6 q^{32} - 8 q^{33} + 30 q^{34} + 750 q^{35} - 628 q^{36} - 4 q^{37} + 1788 q^{38} - 4 q^{40} + 290 q^{42} - 6 q^{43} + 384 q^{44} - 252 q^{45} + 8 q^{46} - 12 q^{47} + 18 q^{48} - 12 q^{49} + 3942 q^{50} - 2 q^{52} + 282 q^{54} + 1500 q^{55} - 6 q^{56} + 108 q^{57} - 1126 q^{58} + 842 q^{60} + 2 q^{61} + 2934 q^{62} - 1380 q^{63} - 12 q^{65} + 188 q^{66} + 2 q^{67} + 762 q^{68} - 6 q^{69} - 172 q^{70} + 564 q^{72} + 5454 q^{74} + 656 q^{75} - 130 q^{76} - 8928 q^{78} - 8 q^{79} + 1134 q^{80} - 4 q^{81} - 12 q^{82} - 12 q^{83} - 1842 q^{84} - 504 q^{85} - 8322 q^{86} + 2048 q^{88} + 516 q^{90} + 678 q^{91} - 12 q^{92} + 8650 q^{93} + 2 q^{94} - 24 q^{95} + 8816 q^{96} - 4 q^{97} - 48 q^{98} + 4374 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{4}^{\mathrm{new}}(1872, [\chi])\) into newform subspaces

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