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Properties

Label 2023.2.bb
Level $2023$
Weight $2$
Character orbit 2023.bb
Rep. character $\chi_{2023}(16,\cdot)$
Character field $\Q(\zeta_{102})$
Dimension $6464$
Sturm bound $408$

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Defining parameters

Level: \( N \) \(=\) \( 2023 = 7 \cdot 17^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2023.bb (of order \(102\) and degree \(32\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2023 \)
Character field: \(\Q(\zeta_{102})\)
Sturm bound: \(408\)

Dimensions

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

Total New Old
Modular forms 6592 6592 0
Cusp forms 6464 6464 0
Eisenstein series 128 128 0

Trace form

\( 6464 q - 15 q^{2} - 17 q^{3} + 185 q^{4} - 17 q^{5} - 68 q^{6} - 34 q^{7} - 68 q^{8} - 209 q^{9} + O(q^{10}) \) \( 6464 q - 15 q^{2} - 17 q^{3} + 185 q^{4} - 17 q^{5} - 68 q^{6} - 34 q^{7} - 68 q^{8} - 209 q^{9} - 17 q^{10} - 17 q^{11} - 17 q^{12} - 52 q^{13} - 119 q^{14} - 52 q^{15} + 245 q^{16} - 15 q^{17} - 39 q^{18} - 7 q^{19} - 68 q^{20} + 60 q^{21} - 68 q^{22} - 17 q^{23} + 153 q^{24} - 199 q^{25} - 25 q^{26} - 68 q^{27} - 34 q^{28} - 68 q^{29} + 3 q^{30} - 17 q^{31} - 15 q^{32} + 79 q^{33} - 92 q^{34} - 4 q^{35} + 280 q^{36} - 17 q^{37} + 236 q^{38} - 17 q^{39} - 68 q^{41} - 22 q^{42} - 24 q^{43} + 51 q^{44} - 17 q^{45} - 17 q^{46} - 32 q^{47} - 68 q^{48} - 40 q^{49} - 80 q^{50} + 113 q^{51} - 15 q^{52} - 51 q^{53} - 17 q^{54} - 80 q^{55} - 34 q^{56} - 68 q^{57} - 17 q^{58} - 3 q^{59} - 5 q^{60} - 17 q^{61} - 68 q^{62} - 119 q^{63} - 404 q^{64} - 25 q^{66} + 37 q^{67} + 15 q^{68} - 194 q^{69} - 16 q^{70} - 340 q^{71} - 3 q^{72} - 17 q^{73} + 170 q^{74} - 84 q^{76} + 128 q^{77} - 68 q^{78} - 68 q^{79} - 85 q^{80} + 37 q^{81} - 17 q^{82} - 12 q^{83} - 64 q^{84} - 234 q^{85} + 3 q^{86} + 9 q^{87} - 119 q^{88} - 35 q^{89} - 68 q^{90} - 102 q^{91} - 68 q^{92} - 51 q^{93} - 89 q^{94} - 17 q^{95} - 306 q^{96} - 68 q^{97} + 292 q^{98} - 68 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

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

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