Cremona's table of elliptic curves

38440 = 2³ · 5 · 31²

Class	r	Atkin-Lehner	Eigenvalues
38440a (1 curve)	1	2+ 5+ 31+	2+  2 5+ -2  3  4  6  0
Curve Equation t Generators 38440a1 [0,-1,0,-39721,2612781] 1 [153:306:1]
38440b (1 curve)	0	2+ 5+ 31-	2+  1 5+  0  0  2 -3  1
Curve Equation t 38440b1 [0,1,0,-6920481,7061598275] 1
38440c (2 curves)	0	2+ 5+ 31-	2+ -2 5+  0  0 -4  0  4
Curve Equation t 38440c1 [0,1,0,3524,-632160] 2 38440c2 [0,1,0,-92576,-10395920] 2
38440d (1 curve)	2	2+ 5+ 31-	2+ -2 5+ -2 -3 -4 -6  0
Curve Equation t Generators 38440d1 [0,1,0,-41,-101] 1 [-5:2:1]&[-3:2:1]
38440e (4 curves)	1	2+ 5- 31-	2+  0 5- -4 -4  2 -2  4
Curve Equation t Generators 38440e1 [0,0,0,-1922,-29791] 2 [1488:4805:27] 38440e2 [0,0,0,-6727,178746] 4 [1187:40800:1] 38440e3 [0,0,0,12493,1012894] 2 [-57:340:1] 38440e4 [0,0,0,-102827,12690966] 2 [-310:3844:1]
38440f (1 curve)	1	2+ 5- 31-	2+ -3 5-  2  2  2  1  1
Curve Equation t Generators 38440f1 [0,0,0,-36952372,86459559364] 1 [-62:297910:1]
38440g (2 curves)	1	2- 5+ 31-	2-  0 5+  0 -2 -2  0 -8
Curve Equation t Generators 38440g1 [0,0,0,-310403,-73822098] 2 [224502809123:19151991180656:30664297] 38440g2 [0,0,0,-5115403,-4453099098] 2 [169005947443745615693006:13834003498321146860237907:22638623853720740984]
38440h (2 curves)	1	2- 5+ 31-	2-  2 5+  4  2 -2  0  4
Curve Equation t Generators 38440h1 [0,-1,0,-1241281736,16833563535740] 2 [473864044558472160501664400698557821928962:31150881897956209510437038513426706821679936:17418371198270738542015478779367252207] 38440h2 [0,-1,0,-19860656736,1077311238285740] 2 [19461875667720712768701528517902227375599776072279558388694701239562472608525125302811:81427270843517949332960031393312902924293978528932006387074557215166800680354105023208:237169324423266452325931524386696809250694033541709426666414146424843299422178671]
38440i (2 curves)	1	2- 5+ 31-	2- -2 5+  4 -2  2  0  4
Curve Equation t Generators 38440i1 [0,1,0,-1291656,-565472000] 2 [37799093979136252200:404837720544621136640:27706178718521857] 38440i2 [0,1,0,-20666656,-36168972000] 2 [968045440377347481860594549826541844225:-265462877439560808544705504465597302563680:12825385721799129359837049689923391]
38440j (2 curves)	1	2- 5+ 31-	2- -2 5+ -4 -4 -4 -4  4
Curve Equation t Generators 38440j1 [0,1,0,-30111,300010] 2 [-21:961:1] 38440j2 [0,1,0,118844,2504544] 2 [10:1922:1]
38440k (4 curves)	0	2- 5- 31-	2-  0 5-  0  4 -2 -6  4
Curve Equation t 38440k1 [0,0,0,-347882,49423269] 2 38440k2 [0,0,0,-4965487,4257908466] 4 38440k3 [0,0,0,-4369667,5318110574] 2 38440k4 [0,0,0,-79442987,272540758966] 4
38440l (1 curve)	0	2- 5- 31-	2-  1 5-  2  2  2  5  1
Curve Equation t 38440l1 [0,1,0,-24345,-2051557] 1

Data from Elliptic Curve Data by J. E. Cremona.
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