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Properties

Label 2023.4.bn
Level $2023$
Weight $4$
Character orbit 2023.bn
Rep. character $\chi_{2023}(3,\cdot)$
Character field $\Q(\zeta_{816})$
Dimension $156160$
Sturm bound $816$

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Defining parameters

Level: \( N \) \(=\) \( 2023 = 7 \cdot 17^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 2023.bn (of order \(816\) and degree \(256\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2023 \)
Character field: \(\Q(\zeta_{816})\)
Sturm bound: \(816\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(2023, [\chi])\).

Total New Old
Modular forms 157184 157184 0
Cusp forms 156160 156160 0
Eisenstein series 1024 1024 0

Trace form

\( 156160 q - 128 q^{2} - 384 q^{3} - 128 q^{4} - 384 q^{5} - 256 q^{7} - 512 q^{8} - 128 q^{9} + O(q^{10}) \) \( 156160 q - 128 q^{2} - 384 q^{3} - 128 q^{4} - 384 q^{5} - 256 q^{7} - 512 q^{8} - 128 q^{9} - 384 q^{10} - 240 q^{11} - 384 q^{12} - 416 q^{14} + 160 q^{15} - 136 q^{16} - 384 q^{17} - 120 q^{18} - 384 q^{19} - 160 q^{21} - 960 q^{22} - 128 q^{23} - 384 q^{24} - 576 q^{25} - 384 q^{26} - 112 q^{28} - 512 q^{29} + 1216 q^{30} - 384 q^{31} - 408 q^{33} - 240 q^{35} - 640 q^{36} + 544 q^{37} - 384 q^{38} + 1184 q^{39} - 384 q^{40} - 4240 q^{42} - 512 q^{43} - 2080 q^{44} - 384 q^{45} - 1088 q^{46} - 384 q^{47} + 2816 q^{49} - 544 q^{50} + 1472 q^{51} - 360 q^{52} - 1536 q^{53} - 14184 q^{54} + 5544 q^{56} - 512 q^{57} - 320 q^{58} - 384 q^{59} + 2432 q^{60} + 3216 q^{61} - 9856 q^{63} + 512 q^{64} - 2688 q^{65} - 384 q^{66} - 136 q^{67} + 17304 q^{68} - 5688 q^{70} + 2624 q^{71} - 1152 q^{72} - 6144 q^{73} - 1792 q^{74} + 2784 q^{75} + 848 q^{77} - 5888 q^{78} - 128 q^{79} + 14976 q^{80} + 3328 q^{81} - 17544 q^{82} - 272 q^{84} - 19520 q^{85} - 120 q^{86} + 10848 q^{87} + 6784 q^{88} - 384 q^{89} - 832 q^{91} - 2528 q^{92} - 1984 q^{93} - 1536 q^{94} - 960 q^{95} + 4800 q^{96} + 11848 q^{98} + 41840 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{4}^{\mathrm{new}}(2023, [\chi])\) into newform subspaces

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