Cremona's table of elliptic curves

71736 = 2³ · 3 · 7² · 61

Class	r	Atkin-Lehner	Eigenvalues
71736a (1 curve)	2	2+ 3+ 7+ 61-	2+ 3+  0 7+  0 -3  0 -5
Curve Equation t Generators 71736a1 [0,-1,0,327,3165] 1 [89:-854:1]&[5:70:1]
71736b (1 curve)	0	2+ 3+ 7- 61+	2+ 3+ -1 7- -5  1 -2  4
Curve Equation t 71736b1 [0,-1,0,80344,-2155236] 1
71736c (2 curves)	0	2+ 3+ 7- 61+	2+ 3+  2 7- -2 -2  4  4
Curve Equation t 71736c1 [0,-1,0,-947,-10800] 2 71736c2 [0,-1,0,-212,-27852] 2
71736d (1 curve)	0	2+ 3+ 7- 61+	2+ 3+  4 7-  0 -4  3  4
Curve Equation t 71736d1 [0,-1,0,-20841,48945933] 1
71736e (1 curve)	1	2+ 3- 7- 61+	2+ 3-  0 7-  0  3  0  5
Curve Equation t Generators 71736e1 [0,1,0,16007,-1117621] 1 [67:510:1]
71736f (2 curves)	1	2+ 3- 7- 61+	2+ 3-  2 7- -2 -2 -4  4
Curve Equation t Generators 71736f1 [0,1,0,2973,-5958] 2 [9:147:1] 71736f2 [0,1,0,-11972,-59760] 2 [-32:540:1]
71736g (1 curve)	1	2+ 3- 7- 61+	2+ 3- -4 7- -5  7  2 -2
Curve Equation t Generators 71736g1 [0,1,0,-2760,-196176] 1 [11300:140973:64]
71736h (1 curve)	0	2+ 3- 7- 61-	2+ 3-  3 7-  0  4  5 -6
Curve Equation t 71736h1 [0,1,0,-93704,11027568] 1
71736i (4 curves)	1	2- 3+ 7- 61+	2- 3+  2 7-  0  2 -6  4
Curve Equation t Generators 71736i1 [0,-1,0,-48967,-4154240] 2 [-34982935:3080349:274625] 71736i2 [0,-1,0,-51172,-3757340] 4 [2280:108290:1] 71736i3 [0,-1,0,92888,-21217412] 2 [159695790:2777384168:614125] 71736i4 [0,-1,0,-230512,39069052] 2 [286830:13455364:125]
71736j (1 curve)	0	2- 3+ 7- 61-	2- 3+  1 7-  2  0  0 -1
Curve Equation t 71736j1 [0,-1,0,-4720,-124676] 1
71736k (1 curve)	0	2- 3+ 7- 61-	2- 3+  4 7-  2  3  0 -7
Curve Equation t 71736k1 [0,-1,0,159,5013] 1
71736l (1 curve)	1	2- 3- 7+ 61+	2- 3- -4 7+  2 -3  0  7
Curve Equation t Generators 71736l1 [0,1,0,7775,-1735021] 1 [125:1098:1]
71736m (1 curve)	0	2- 3- 7- 61+	2- 3- -1 7- -3  5  6  8
Curve Equation t 71736m1 [0,1,0,-16,12368] 1
71736n (4 curves)	0	2- 3- 7- 61+	2- 3-  2 7-  0  2 -6 -4
Curve Equation t 71736n1 [0,1,0,-56807,-6485718] 2 71736n2 [0,1,0,-968452,-367132480] 4 71736n3 [0,1,0,-1028232,-319308480] 2 71736n4 [0,1,0,-15494992,-23481762928] 2
71736o (1 curve)	1	2- 3- 7- 61-	2- 3-  0 7-  0 -4 -3  0
Curve Equation t Generators 71736o1 [0,1,0,327,-16101] 1 [30:147:1]
71736p (1 curve)	1	2- 3- 7- 61-	2- 3- -3 7-  2 -4  8  5
Curve Equation t Generators 71736p1 [0,1,0,-54112,-9659056] 1 [296:588:1]
71736q (1 curve)	1	2- 3- 7- 61-	2- 3- -3 7- -6 -4 -5 -4
Curve Equation t Generators 71736q1 [0,1,0,768,-5664] 1 [58:147:8]

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