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Properties

Label 3025.2.cw
Level $3025$
Weight $2$
Character orbit 3025.cw
Rep. character $\chi_{3025}(87,\cdot)$
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.cw (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

\( 26240 q - 88 q^{2} - 160 q^{3} - 90 q^{4} - 76 q^{5} - 66 q^{6} - 88 q^{7} - 88 q^{8} - 200 q^{9} + O(q^{10}) \) \( 26240 q - 88 q^{2} - 160 q^{3} - 90 q^{4} - 76 q^{5} - 66 q^{6} - 88 q^{7} - 88 q^{8} - 200 q^{9} - 44 q^{10} - 60 q^{11} - 134 q^{12} - 44 q^{13} - 90 q^{14} - 64 q^{15} - 698 q^{16} - 88 q^{17} - 66 q^{18} - 110 q^{19} - 36 q^{20} - 66 q^{21} - 410 q^{22} - 56 q^{23} - 60 q^{25} - 144 q^{26} - 280 q^{27} - 88 q^{28} - 110 q^{29} - 88 q^{30} - 54 q^{31} - 88 q^{32} - 18 q^{33} - 90 q^{34} - 88 q^{35} - 834 q^{36} - 142 q^{37} - 160 q^{38} - 110 q^{39} - 66 q^{41} - 134 q^{42} - 88 q^{43} - 170 q^{44} - 34 q^{45} - 66 q^{46} - 152 q^{47} + 22 q^{48} - 198 q^{50} - 176 q^{51} - 88 q^{52} - 104 q^{53} - 110 q^{54} - 280 q^{55} - 22 q^{56} - 154 q^{57} - 224 q^{58} - 90 q^{59} - 124 q^{60} - 66 q^{61} - 88 q^{62} - 616 q^{63} - 250 q^{64} - 88 q^{65} - 36 q^{66} - 32 q^{67} - 88 q^{68} - 90 q^{69} + 36 q^{70} - 54 q^{71} - 88 q^{73} - 184 q^{75} - 176 q^{76} + 2 q^{77} - 456 q^{78} - 110 q^{79} + 234 q^{80} + 6120 q^{81} - 112 q^{82} - 88 q^{83} - 110 q^{84} - 54 q^{86} - 154 q^{87} - 18 q^{88} + 360 q^{89} - 286 q^{90} - 54 q^{91} + 188 q^{92} - 202 q^{93} - 88 q^{95} - 66 q^{96} + 144 q^{97} - 88 q^{98} + O(q^{100}) \)

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.