Properties

Label 2023.2.bl
Level $2023$
Weight $2$
Character orbit 2023.bl
Rep. character $\chi_{2023}(2,\cdot)$
Character field $\Q(\zeta_{408})$
Dimension $25856$
Sturm bound $408$

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Defining parameters

Level: \( N \) \(=\) \( 2023 = 7 \cdot 17^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2023.bl (of order \(408\) and degree \(128\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2023 \)
Character field: \(\Q(\zeta_{408})\)
Sturm bound: \(408\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2023, [\chi])\).

Total New Old
Modular forms 26368 26368 0
Cusp forms 25856 25856 0
Eisenstein series 512 512 0

Trace form

\( 25856 q - 64 q^{2} - 64 q^{3} - 68 q^{4} - 68 q^{5} - 256 q^{6} - 128 q^{7} - 240 q^{8} - 64 q^{9} + O(q^{10}) \) \( 25856 q - 64 q^{2} - 64 q^{3} - 68 q^{4} - 68 q^{5} - 256 q^{6} - 128 q^{7} - 240 q^{8} - 64 q^{9} - 64 q^{10} - 60 q^{11} - 40 q^{12} - 272 q^{13} - 168 q^{14} - 296 q^{15} - 844 q^{16} - 72 q^{17} - 60 q^{18} - 64 q^{19} - 224 q^{20} - 136 q^{21} - 224 q^{22} - 76 q^{23} - 720 q^{24} - 60 q^{25} - 104 q^{26} - 208 q^{27} - 168 q^{28} - 256 q^{29} - 68 q^{30} - 64 q^{31} - 116 q^{32} - 92 q^{33} - 256 q^{34} - 120 q^{35} - 240 q^{36} - 32 q^{37} - 84 q^{39} - 96 q^{40} - 312 q^{41} - 108 q^{42} - 288 q^{43} - 48 q^{44} - 76 q^{45} - 64 q^{46} - 68 q^{47} - 328 q^{48} - 68 q^{49} - 240 q^{50} - 112 q^{51} - 44 q^{52} - 48 q^{53} - 92 q^{54} - 272 q^{55} - 108 q^{56} - 256 q^{57} - 96 q^{58} - 72 q^{59} - 144 q^{60} - 44 q^{61} - 360 q^{62} - 116 q^{63} - 272 q^{64} - 76 q^{65} - 80 q^{66} - 60 q^{67} - 8 q^{68} - 368 q^{69} - 212 q^{70} - 240 q^{71} - 68 q^{72} - 44 q^{73} - 40 q^{74} + 40 q^{75} - 536 q^{76} - 816 q^{77} - 432 q^{78} - 64 q^{79} - 24 q^{80} - 68 q^{81} - 92 q^{82} - 184 q^{83} - 128 q^{84} - 912 q^{85} - 92 q^{86} - 136 q^{87} - 172 q^{88} - 68 q^{89} - 224 q^{90} - 200 q^{91} - 192 q^{92} - 76 q^{93} - 112 q^{94} - 116 q^{95} - 56 q^{96} - 352 q^{97} - 136 q^{98} - 176 q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2023, [\chi])\) into newform subspaces

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