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Properties

Label 2365.2.dq
Level $2365$
Weight $2$
Character orbit 2365.dq
Rep. character $\chi_{2365}(3,\cdot)$
Character field $\Q(\zeta_{420})$
Dimension $24960$
Sturm bound $528$

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Defining parameters

Level: \( N \) \(=\) \( 2365 = 5 \cdot 11 \cdot 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2365.dq (of order \(420\) and degree \(96\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2365 \)
Character field: \(\Q(\zeta_{420})\)
Sturm bound: \(528\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2365, [\chi])\).

Total New Old
Modular forms 25728 25728 0
Cusp forms 24960 24960 0
Eisenstein series 768 768 0

Trace form

\( 24960 q - 84 q^{2} - 66 q^{3} - 66 q^{5} - 72 q^{6} - 90 q^{7} - 84 q^{8} + O(q^{10}) \) \( 24960 q - 84 q^{2} - 66 q^{3} - 66 q^{5} - 72 q^{6} - 90 q^{7} - 84 q^{8} - 224 q^{10} - 160 q^{11} - 124 q^{12} - 38 q^{13} - 78 q^{15} - 1072 q^{16} - 72 q^{17} - 174 q^{18} - 18 q^{20} - 320 q^{21} - 112 q^{22} - 224 q^{23} - 70 q^{25} - 132 q^{26} - 84 q^{27} - 202 q^{28} - 134 q^{30} - 172 q^{31} - 224 q^{32} - 186 q^{33} - 68 q^{35} + 2840 q^{36} - 108 q^{37} - 210 q^{38} - 134 q^{40} - 120 q^{41} - 560 q^{43} - 224 q^{45} + 156 q^{46} - 108 q^{47} + 234 q^{48} - 36 q^{50} + 168 q^{51} - 174 q^{52} - 136 q^{53} - 142 q^{55} - 440 q^{56} - 54 q^{57} - 58 q^{58} + 166 q^{60} - 132 q^{61} + 54 q^{62} - 58 q^{63} - 392 q^{65} - 364 q^{66} - 368 q^{67} + 86 q^{68} - 84 q^{70} - 84 q^{71} + 106 q^{72} + 110 q^{73} - 84 q^{75} - 256 q^{76} - 118 q^{77} - 288 q^{78} - 180 q^{80} + 268 q^{81} - 252 q^{82} - 182 q^{83} - 80 q^{86} - 424 q^{87} - 168 q^{88} - 72 q^{90} - 84 q^{91} - 132 q^{92} - 216 q^{93} + 94 q^{95} - 592 q^{96} + 300 q^{97} - 340 q^{98} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2365, [\chi])\) into newform subspaces

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