Cremona's table of elliptic curves

68085 = 3² · 5 · 17 · 89

Class	r	Atkin-Lehner	Eigenvalues
68085a (1 curve)	0	3+ 5+ 17+ 89-	2 3+ 5+  5  3  4 17+  4
Curve Equation t 68085a1 [0,0,1,-63,-6081] 1
68085b (1 curve)	1	3+ 5- 17- 89+	-2 3+ 5-  5 -3  4 17-  4
Curve Equation t Generators 68085b1 [0,0,1,-567,164180] 1 [-42:337:1]
68085c (6 curves)	0	3- 5+ 17+ 89+	1 3- 5+  0 -4  6 17+ -4
Curve Equation t 68085c1 [1,-1,0,-9765945,-11744357504] 2 68085c2 [1,-1,0,-9765990,-11744243825] 4 68085c3 [1,-1,0,-9441585,-12561030734] 2 68085c4 [1,-1,0,-10091115,-10920182000] 4 68085c5 [1,-1,0,15004710,-56609640995] 2 68085c6 [1,-1,0,-40388940,87505332295] 2
68085d (1 curve)	2	3- 5+ 17+ 89+	-2 3- 5+  0 -4  0 17+  2
Curve Equation t Generators 68085d1 [0,0,1,-3,1804] 1 [-11:22:1]&[16:76:1]
68085e (1 curve)	1	3- 5+ 17- 89+	0 3- 5+  5  1 -2 17-  0
Curve Equation t Generators 68085e1 [0,0,1,-1950438,-1183127706] 1 [30114:5220062:1]
68085f (2 curves)	1	3- 5+ 17- 89+	1 3- 5+ -4  0  4 17-  4
Curve Equation t Generators 68085f1 [1,-1,0,-405,400] 2 [-146:379:8] 68085f2 [1,-1,0,-4230,-104405] 2 [-306:299:8]
68085g (2 curves)	2	3- 5+ 17- 89-	0 3- 5+ -1 -3 -4 17-  2
Curve Equation t Generators 68085g1 [0,0,1,1932,-2961] 1 [59:562:1]&[21:216:1] 68085g2 [0,0,1,-25068,1664964] 3 [-54:1691:1]&[14:1147:1]
68085h (2 curves)	0	3- 5+ 17- 89-	1 3- 5+ -4 -6  2 17-  6
Curve Equation t 68085h1 [1,-1,0,-7065,-226800] 2 68085h2 [1,-1,0,-6660,-254259] 2
68085i (1 curve)	0	3- 5+ 17- 89-	-2 3- 5+ -1  3  2 17-  0
Curve Equation t 68085i1 [0,0,1,190797,-4984373142] 1
68085j (1 curve)	1	3- 5- 17+ 89+	2 3- 5- -1  5 -2 17+  0
Curve Equation t Generators 68085j1 [0,0,1,-3567,-82845] 1 [1657170:27255995:5832]
68085k (2 curves)	0	3- 5- 17+ 89-	-1 3- 5- -2  4 -4 17+  0
Curve Equation t 68085k1 [1,-1,1,-136517,-19316316] 2 68085k2 [1,-1,1,-201542,1023504] 2
68085l (4 curves)	0	3- 5- 17- 89+	-1 3- 5-  0  0  2 17- -4
Curve Equation t 68085l1 [1,-1,1,-617,-14776] 2 68085l2 [1,-1,1,-13622,-607804] 4 68085l3 [1,-1,1,-17447,-236014] 2 68085l4 [1,-1,1,-217877,-39089446] 2
68085m (1 curve)	0	3- 5- 17- 89+	2 3- 5- -3  3 -4 17-  2
Curve Equation t 68085m1 [0,0,1,24963,489465] 1

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