Cremona's table of elliptic curves

47685 = 3 · 5 · 11 · 17²

Class	r	Atkin-Lehner	Eigenvalues
47685a (4 curves)	1	3+ 5+ 11+ 17+	1 3+ 5+  0 11+  2 17+  4
Curve Equation t Generators 47685a1 [1,1,0,26727,-1533792] 2 [22921603891468:-343749718054918:237291625871] 47685a2 [1,1,0,-148118,-14437353] 4 [-19173158:-149608493:68921] 47685a3 [1,1,0,-958763,350190768] 2 [12943591267426:722700143901039:3781833112] 47685a4 [1,1,0,-2134993,-1201396478] 2 [-15221474018752:15900948189119:18067226624]
47685b (1 curve)	2	3+ 5+ 11- 17+	0 3+ 5+ -1 11-  2 17+ -6
Curve Equation t Generators 47685b1 [0,-1,1,-11,-5533] 1 [41:-248:1]&[23:76:1]
47685c (1 curve)	0	3+ 5- 11+ 17+	0 3+ 5-  3 11+  6 17+  0
Curve Equation t 47685c1 [0,-1,1,-7082075,7256550683] 1
47685d (1 curve)	0	3+ 5- 11+ 17+	1 3+ 5-  0 11+  2 17+  1
Curve Equation t 47685d1 [1,1,0,-15297,-736866] 1
47685e (4 curves)	0	3+ 5- 11+ 17+	1 3+ 5-  0 11+  2 17+ -8
Curve Equation t 47685e1 [1,1,0,-3967542,-1918355481] 2 47685e2 [1,1,0,-26545667,51226035144] 4 47685e3 [1,1,0,7231208,172694433019] 2 47685e4 [1,1,0,-421572542,3331450199769] 2
47685f (2 curves)	1	3+ 5- 11- 17+	0 3+ 5-  1 11-  2 17+  2
Curve Equation t Generators 47685f1 [0,-1,1,-45,128] 1 [2:6:1] 47685f2 [0,-1,1,-555,-4819] 1 [-13:5:1]
47685g (2 curves)	1	3+ 5- 11- 17+	0 3+ 5-  1 11-  2 17+  2
Curve Equation t Generators 47685g1 [0,-1,1,-540815,157691006] 1 [890:19507:1] 47685g2 [0,-1,1,2554375,554803883] 1 [6959:596062:1]
47685h (1 curve)	1	3+ 5- 11- 17+	1 3+ 5-  3 11- -5 17+ -7
Curve Equation t Generators 47685h1 [1,1,0,88,-1089] 1 [22:99:1]
47685i (1 curve)	0	3+ 5- 11- 17-	0 3+ 5- -5 11-  2 17- -2
Curve Equation t 47685i1 [0,-1,1,-201141495,-1095281398069] 1
47685j (1 curve)	0	3- 5+ 11+ 17+	0 3- 5+  5 11+  2 17+ -2
Curve Equation t 47685j1 [0,1,1,-695991,-223180999] 1
47685k (2 curves)	1	3- 5+ 11+ 17-	0 3- 5+ -1 11+  2 17-  2
Curve Equation t Generators 47685k1 [0,1,1,-13101,551666] 3 [-5724:64477:64] 47685k2 [0,1,1,-160491,-24637285] 1 [-14025503970764:-23652066765073:61911146816]
47685l (1 curve)	1	3- 5+ 11+ 17-	1 3- 5+ -3 11+ -5 17- -7
Curve Equation t Generators 47685l1 [1,0,1,25281,-5527583] 1 [161:1569:1]
47685m (1 curve)	0	3- 5+ 11- 17-	0 3- 5+ -3 11-  6 17-  0
Curve Equation t 47685m1 [0,1,1,-2046719771,35639153188361] 1
47685n (1 curve)	0	3- 5+ 11- 17-	1 3- 5+  0 11-  2 17-  1
Curve Equation t 47685n1 [1,0,1,-4420984,-3589276129] 1
47685o (1 curve)	1	3- 5- 11+ 17+	0 3- 5-  1 11+  2 17+ -6
Curve Equation t Generators 47685o1 [0,1,1,-3275,-27201871] 1 [7321:626407:1]
47685p (4 curves)	1	3- 5- 11+ 17+	1 3- 5- -4 11+ -2 17+  4
Curve Equation t Generators 47685p1 [1,0,1,-32808,1172593] 2 [8648:399655:512] 47685p2 [1,0,1,-450413,116264531] 4 [2710:11511:8] 47685p3 [1,0,1,-376718,155588183] 2 [959:25530:1] 47685p4 [1,0,1,-7205788,7444495331] 4 [9050310:-5364881:5832]
47685q (4 curves)	0	3- 5- 11- 17+	-1 3- 5-  0 11-  6 17+  0
Curve Equation t 47685q1 [1,0,0,-72545,4674912] 2 47685q2 [1,0,0,-490150,-128708125] 4 47685q3 [1,0,0,123975,-429506550] 4 47685q4 [1,0,0,-7785955,-8362753648] 2

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