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Properties

Label 3025.2.dd
Level $3025$
Weight $2$
Character orbit 3025.dd
Rep. character $\chi_{3025}(13,\cdot)$
Character field $\Q(\zeta_{220})$
Dimension $26240$
Sturm bound $660$

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Defining parameters

Level: \( N \) \(=\) \( 3025 = 5^{2} \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 3025.dd (of order \(220\) and degree \(80\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3025 \)
Character field: \(\Q(\zeta_{220})\)
Sturm bound: \(660\)

Dimensions

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

Total New Old
Modular forms 26560 26560 0
Cusp forms 26240 26240 0
Eisenstein series 320 320 0

Trace form

\( 26240 q - 78 q^{2} - 60 q^{3} - 100 q^{4} - 76 q^{5} - 66 q^{6} - 58 q^{7} - 58 q^{8} - 100 q^{9} + O(q^{10}) \) \( 26240 q - 78 q^{2} - 60 q^{3} - 100 q^{4} - 76 q^{5} - 66 q^{6} - 58 q^{7} - 58 q^{8} - 100 q^{9} - 4 q^{10} - 60 q^{11} - 154 q^{12} - 34 q^{13} - 110 q^{14} - 94 q^{15} - 708 q^{16} - 88 q^{17} - 86 q^{18} - 100 q^{19} - 46 q^{20} - 66 q^{21} - 10 q^{22} - 96 q^{23} - 40 q^{24} - 60 q^{25} - 164 q^{26} - 180 q^{27} - 158 q^{28} - 100 q^{29} - 38 q^{30} - 64 q^{31} - 88 q^{32} - 278 q^{33} - 90 q^{34} - 108 q^{35} + 2706 q^{36} - 142 q^{37} - 240 q^{38} - 150 q^{39} - 100 q^{40} - 56 q^{41} + 46 q^{42} + 42 q^{43} - 30 q^{44} - 194 q^{45} - 66 q^{46} - 82 q^{47} - 8 q^{48} + 60 q^{49} - 188 q^{50} - 156 q^{51} - 38 q^{52} - 114 q^{53} - 230 q^{54} + 560 q^{55} - 62 q^{56} - 224 q^{57} - 74 q^{58} - 110 q^{59} - 194 q^{60} - 56 q^{61} - 78 q^{62} + 14 q^{63} - 140 q^{64} - 68 q^{65} - 96 q^{66} + 48 q^{67} - 78 q^{68} - 80 q^{69} - 24 q^{70} - 64 q^{71} - 210 q^{72} - 78 q^{73} - 110 q^{74} - 154 q^{75} - 176 q^{76} - 78 q^{77} + 14 q^{78} + 70 q^{79} + 184 q^{80} + 6220 q^{81} - 122 q^{82} - 178 q^{83} - 210 q^{84} - 90 q^{85} - 64 q^{86} - 94 q^{87} - 178 q^{88} - 40 q^{89} - 256 q^{90} - 64 q^{91} + 238 q^{92} - 112 q^{93} - 200 q^{94} - 168 q^{95} - 16 q^{96} - 146 q^{97} - 158 q^{98} + O(q^{100}) \)

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.