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Properties

Label 3025.2.ci
Level $3025$
Weight $2$
Character orbit 3025.ci
Rep. character $\chi_{3025}(169,\cdot)$
Character field $\Q(\zeta_{110})$
Dimension $13120$
Sturm bound $660$

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Defining parameters

Level: \( N \) \(=\) \( 3025 = 5^{2} \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 3025.ci (of order \(110\) and degree \(40\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3025 \)
Character field: \(\Q(\zeta_{110})\)
Sturm bound: \(660\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3025, [\chi])\).

Total New Old
Modular forms 13280 13280 0
Cusp forms 13120 13120 0
Eisenstein series 160 160 0

Trace form

\( 13120 q - 50 q^{2} - 50 q^{3} - 358 q^{4} - 38 q^{5} + 11 q^{6} + 10 q^{7} - 40 q^{8} + 3230 q^{9} + O(q^{10}) \) \( 13120 q - 50 q^{2} - 50 q^{3} - 358 q^{4} - 38 q^{5} + 11 q^{6} + 10 q^{7} - 40 q^{8} + 3230 q^{9} - 2 q^{10} - 50 q^{11} - 55 q^{12} - 50 q^{13} - 19 q^{14} - 68 q^{15} + 284 q^{16} - 55 q^{17} + 15 q^{18} - 48 q^{19} - 67 q^{20} - 73 q^{21} + 130 q^{22} - 25 q^{23} - 136 q^{24} - 40 q^{25} - 54 q^{26} + 100 q^{27} - 20 q^{28} - 44 q^{29} - 8 q^{30} - 34 q^{31} - 225 q^{33} - 29 q^{34} - 6 q^{35} - 1453 q^{36} + 110 q^{37} + 240 q^{38} - 112 q^{39} + 15 q^{40} - 19 q^{41} - 155 q^{42} - 31 q^{44} - 2 q^{45} - 35 q^{46} - 70 q^{47} - 30 q^{48} - 412 q^{49} - 124 q^{50} - 135 q^{51} - 55 q^{52} - 55 q^{53} + 11 q^{54} - 398 q^{55} + 3 q^{56} - 40 q^{57} - 40 q^{58} - 39 q^{59} - 103 q^{60} - 20 q^{61} - 55 q^{62} - 40 q^{63} - 336 q^{64} - 17 q^{65} - 14 q^{66} - 85 q^{67} - 145 q^{68} + 66 q^{69} + 15 q^{70} + 92 q^{71} + 40 q^{72} - 50 q^{73} - 93 q^{74} - 11 q^{75} - 298 q^{76} - 105 q^{77} + 15 q^{78} + 101 q^{79} + 45 q^{80} - 3068 q^{81} + 10 q^{82} - 55 q^{83} + q^{84} - 28 q^{85} - 40 q^{86} - 85 q^{87} - 60 q^{88} + 88 q^{89} - 109 q^{90} - 42 q^{91} + 20 q^{92} + 55 q^{93} - 804 q^{94} + 225 q^{95} - 12 q^{96} - 55 q^{97} - 80 q^{98} + 104 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(3025, [\chi])\) into newform subspaces

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