Cremona's table of elliptic curves

115038 = 2 · 3² · 7 · 11 · 83

Class	r	Atkin-Lehner	Eigenvalues
115038a (1 curve)	1	2+ 3+ 7+ 11+ 83+	2+ 3+  1 7+ 11+  1 -4  8
Curve Equation t Generators 115038a1 [1,-1,0,-5334,151316] 1 [55:121:1]
115038b (2 curves)	2	2+ 3+ 7+ 11- 83+	2+ 3+  0 7+ 11- -6  2 -4
Curve Equation t Generators 115038b1 [1,-1,0,-4242,106880] 2 [3755:7709:125]&[-43:478:1] 115038b2 [1,-1,0,-6732,-31066] 2 [-49:448:1]&[-242:3159:8]
115038c (1 curve)	0	2+ 3+ 7+ 11- 83+	2+ 3+  1 7+ 11- -1  4  0
Curve Equation t 115038c1 [1,-1,0,30186,-4076044] 1
115038d (2 curves)	1	2+ 3+ 7+ 11- 83-	2+ 3+  2 7+ 11-  6  0 -6
Curve Equation t Generators 115038d1 [1,-1,0,-79086,8536532] 2 [221:1237:1] 115038d2 [1,-1,0,-126126,-2762476] 2 [-115:3253:1]
115038e (2 curves)	0	2+ 3+ 7- 11+ 83+	2+ 3+  2 7- 11+  4 -2  2
Curve Equation t 115038e1 [1,-1,0,-223881,40637709] 2 115038e2 [1,-1,0,-101001,84948237] 2
115038f (2 curves)	1	2+ 3+ 7- 11+ 83-	2+ 3+  0 7- 11+  2 -6  8
Curve Equation t Generators 115038f1 [1,-1,0,-1797,-13087] 2 [-37:60:1] 115038f2 [1,-1,0,-24207,-1442845] 2 [-91:60:1]
115038g (1 curve)	0	2+ 3- 7+ 11+ 83+	2+ 3- -2 7+ 11+  7  5 -5
Curve Equation t 115038g1 [1,-1,0,9387,3820149] 1
115038h (2 curves)	1	2+ 3- 7+ 11+ 83-	2+ 3-  0 7+ 11+ -4 -2 -2
Curve Equation t Generators 115038h1 [1,-1,0,-1139607,-462717923] 2 [18638:2530841:1] 115038h2 [1,-1,0,-183447,-1215598307] 2 [1331:29282:1]
115038i (6 curves)	1	2+ 3- 7+ 11+ 83-	2+ 3-  2 7+ 11+ -2 -2 -4
Curve Equation t Generators 115038i1 [1,-1,0,1639134,6833085844] 2 [448945618299985:-51129457281526982:544337892125] 115038i2 [1,-1,0,-45546786,113350581652] 4 [2286809196:-392883643958:1685159] 115038i3 [1,-1,0,-125864226,-396199321196] 2 [-75911186108121:-2790988740602747:20503329553] 115038i4 [1,-1,0,-720204066,7439453985172] 4 [75367188:124020326:4913] 115038i5 [1,-1,0,-711666306,7624431385780] 2 [95105:28239470:1] 115038i6 [1,-1,0,-11523258306,476116998522484] 2 [108981842391369:-54876357933437:1758416743]
115038j (2 curves)	1	2+ 3- 7+ 11+ 83-	2+ 3- -2 7+ 11+ -2 -4 -4
Curve Equation t Generators 115038j1 [1,-1,0,-406413,99781861] 2 [-150:12619:1] 115038j2 [1,-1,0,-337293,134770405] 2 [-123:13267:1]
115038k (1 curve)	1	2+ 3- 7+ 11+ 83-	2+ 3- -4 7+ 11+  1  7 -7
Curve Equation t Generators 115038k1 [1,-1,0,216,454] 1 [5:-43:1]
115038l (1 curve)	1	2+ 3- 7+ 11- 83+	2+ 3-  0 7+ 11-  3  3 -5
Curve Equation t Generators 115038l1 [1,-1,0,2673,117445] 1 [-13:290:1]
115038m (2 curves)	1	2+ 3- 7+ 11- 83+	2+ 3- -2 7+ 11-  4 -2 -4
Curve Equation t Generators 115038m1 [1,-1,0,-4473,74925] 2 [-54:423:1] 115038m2 [1,-1,0,13167,508869] 2 [39:-1059:1]
115038n (1 curve)	1	2+ 3- 7+ 11- 83+	2+ 3- -2 7+ 11-  5  7  3
Curve Equation t Generators 115038n1 [1,-1,0,131817,-74235619] 1 [192157:4444021:343]
115038o (1 curve)	1	2+ 3- 7+ 11- 83+	2+ 3-  4 7+ 11-  7 -5 -1
Curve Equation t Generators 115038o1 [1,-1,0,-580333545,5381818635213] 1 [-2601:2623068:1]
115038p (1 curve)	0	2+ 3- 7+ 11- 83-	2+ 3-  2 7+ 11- -3 -3 -3
Curve Equation t 115038p1 [1,-1,0,279,-28211] 1
115038q (1 curve)	1	2+ 3- 7- 11+ 83+	2+ 3-  0 7- 11+ -1  5 -1
Curve Equation t Generators 115038q1 [1,-1,0,-366597,88145365] 1 [287:-2695:1]
115038r (1 curve)	0	2+ 3- 7- 11+ 83-	2+ 3-  4 7- 11+ -5  7 -7
Curve Equation t 115038r1 [1,-1,0,-246960,-47328512] 1
115038s (4 curves)	1	2+ 3- 7- 11- 83-	2+ 3-  2 7- 11-  6  2  4
Curve Equation t Generators 115038s1 [1,-1,0,-17136,-317520] 2 [-20:140:1] 115038s2 [1,-1,0,-148356,21806172] 4 [54:3708:1] 115038s3 [1,-1,0,-29286,55741122] 2 [1149:-39792:1] 115038s4 [1,-1,0,-2366946,1402212870] 2 [945:2475:1]
115038t (2 curves)	0	2- 3+ 7+ 11+ 83+	2- 3+ -2 7+ 11+  6  0 -6
Curve Equation t 115038t1 [1,-1,1,-711776,-229774589] 2 115038t2 [1,-1,1,-1135136,75721987] 2
115038u (2 curves)	1	2- 3+ 7+ 11+ 83-	2- 3+  0 7+ 11+ -6 -2 -4
Curve Equation t Generators 115038u1 [1,-1,1,-38180,-2847581] 2 [14654:615991:8] 115038u2 [1,-1,1,-60590,899371] 2 [72085406:3022711783:39304]
115038v (1 curve)	1	2- 3+ 7+ 11+ 83-	2- 3+ -1 7+ 11+ -1 -4  0
Curve Equation t Generators 115038v1 [1,-1,1,271672,109781515] 1 [-263:4613:1]
115038w (1 curve)	0	2- 3+ 7+ 11- 83-	2- 3+ -1 7+ 11-  1  4  8
Curve Equation t 115038w1 [1,-1,1,-593,-5407] 1
115038x (2 curves)	0	2- 3+ 7- 11- 83+	2- 3+  0 7- 11-  2  6  8
Curve Equation t 115038x1 [1,-1,1,-200,551] 2 115038x2 [1,-1,1,-2690,54335] 2
115038y (2 curves)	1	2- 3+ 7- 11- 83-	2- 3+ -2 7- 11-  4  2  2
Curve Equation t Generators 115038y1 [1,-1,1,-2014931,-1095203213] 2 [-827:2654:1] 115038y2 [1,-1,1,-909011,-2292693389] 2 [2107:70658:1]
115038z (1 curve)	1	2- 3- 7+ 11+ 83+	2- 3-  0 7+ 11+ -5  3 -1
Curve Equation t Generators 115038z1 [1,-1,1,-269330,-59101815] 1 [23158:1212489:8]
115038ba (1 curve)	0	2- 3- 7+ 11+ 83-	2- 3-  1 7+ 11+  7  2  8
Curve Equation t 115038ba1 [1,-1,1,-32,4587] 1
115038bb (1 curve)	1	2- 3- 7+ 11- 83-	2- 3-  1 7+ 11- -3  2  0
Curve Equation t Generators 115038bb1 [1,-1,1,2938,48053] 1 [-3:199:1]
115038bc (1 curve)	1	2- 3- 7+ 11- 83-	2- 3-  2 7+ 11-  3  3 -3
Curve Equation t Generators 115038bc1 [1,-1,1,-389,3061] 1 [13:2:1]
115038bd (2 curves)	1	2- 3- 7- 11+ 83-	2- 3-  3 7- 11+  5 -6 -4
Curve Equation t Generators 115038bd1 [1,-1,1,-161726,-54945331] 1 [326445:16291703:125] 115038bd2 [1,-1,1,1401979,1202562173] 3 [687:49552:1]
115038be (1 curve)	1	2- 3- 7- 11- 83+	2- 3- -3 7- 11-  5 -6 -4
Curve Equation t Generators 115038be1 [1,-1,1,-10364,-413863] 1 [1086:5987:8]
115038bf (2 curves)	0	2- 3- 7- 11- 83-	2- 3-  0 7- 11- -1  3  5
Curve Equation t 115038bf1 [1,-1,1,-1535,-35755] 1 115038bf2 [1,-1,1,12640,586811] 3

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