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Properties

Label 2023.2.y
Level $2023$
Weight $2$
Character orbit 2023.y
Rep. character $\chi_{2023}(18,\cdot)$
Character field $\Q(\zeta_{51})$
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.y (of order \(51\) and degree \(32\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2023 \)
Character field: \(\Q(\zeta_{51})\)
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

\( 6464 q - 15 q^{2} - 15 q^{3} + 185 q^{4} - 13 q^{5} - 68 q^{6} - 32 q^{7} - 68 q^{8} + 179 q^{9} + O(q^{10}) \) \( 6464 q - 15 q^{2} - 15 q^{3} + 185 q^{4} - 13 q^{5} - 68 q^{6} - 32 q^{7} - 68 q^{8} + 179 q^{9} - 23 q^{10} - 17 q^{11} - 13 q^{12} - 52 q^{13} + 53 q^{14} - 76 q^{15} + 125 q^{16} - 13 q^{17} - 7 q^{18} - 23 q^{19} - 116 q^{20} - 132 q^{21} - 84 q^{22} - q^{23} + 153 q^{24} + 173 q^{25} - 29 q^{26} - 84 q^{27} - 16 q^{28} - 68 q^{29} + 7 q^{30} - 11 q^{31} + 5 q^{32} + 55 q^{33} - 76 q^{34} - 12 q^{35} - 448 q^{36} - 15 q^{37} + 68 q^{38} - 17 q^{39} - 66 q^{40} - 56 q^{41} - 10 q^{42} - 64 q^{43} - 95 q^{44} - 13 q^{45} - 29 q^{46} - 38 q^{47} - 120 q^{48} - 16 q^{49} - 56 q^{50} + 119 q^{51} - 15 q^{52} - 27 q^{53} + 11 q^{54} - 40 q^{55} + 32 q^{56} - 52 q^{57} + 3 q^{58} - 19 q^{59} - 9 q^{60} - 17 q^{61} - 104 q^{62} + 69 q^{63} - 516 q^{64} - 36 q^{65} - 21 q^{66} + 53 q^{67} - 5 q^{68} + 138 q^{69} - 64 q^{70} + 240 q^{71} - 19 q^{72} + 11 q^{73} - 228 q^{74} - 46 q^{75} - 4 q^{76} + 112 q^{77} + 16 q^{78} - 72 q^{79} + 41 q^{80} + 273 q^{81} + 23 q^{82} + 28 q^{83} - 88 q^{84} + 442 q^{85} - 13 q^{86} - 15 q^{87} - 43 q^{88} - 43 q^{89} - 160 q^{90} + 6 q^{91} - 116 q^{92} - 31 q^{93} - 293 q^{94} - q^{95} - 282 q^{96} - 40 q^{97} - 448 q^{98} - 80 q^{99} + O(q^{100}) \)

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.