Cremona's table of elliptic curves

89889 = 3 · 19² · 83

Class	r	Atkin-Lehner	Eigenvalues
89889a (1 curve)	1	3+ 19+ 83+	0 3+ -3  3 -1  6 -3 19+
Curve Equation t Generators 89889a1 [0,-1,1,-3722237547,-87415687951063] 1 [433972335457107150761858145073:147859106718932081964214621570066:2977703259245172704256947]
89889b (1 curve)	1	3+ 19+ 83+	-1 3+  2 -1  4  7  6 19+
Curve Equation t Generators 89889b1 [1,1,1,-57587,-5418892] 1 [85786828:11292373411:4913]
89889c (1 curve)	1	3+ 19- 83-	0 3+ -1 -5 -3 -4  7 19-
Curve Equation t Generators 89889c1 [0,-1,1,-1635811,-846010737] 1 [2347:-90761:1]
89889d (1 curve)	2	3- 19+ 83+	0 3- -3  3 -1 -6 -3 19+
Curve Equation t Generators 89889d1 [0,1,1,-10310907,12741413402] 1 [1896:3361:1]&[6:112603:1]
89889e (1 curve)	1	3- 19- 83+	1 3-  1  0 -3  6 -4 19-
Curve Equation t Generators 89889e1 [1,0,1,-19863,-1079225] 1 [13499279927:168231352107:51895117]
89889f (1 curve)	1	3- 19- 83+	1 3-  2 -1  4 -7  6 19-
Curve Equation t Generators 89889f1 [1,0,1,-160,773] 1 [3:16:1]
89889g (1 curve)	1	3- 19- 83+	-1 3- -1 -4 -3 -2  4 19-
Curve Equation t Generators 89889g1 [1,0,0,534,-2091] 1 [35:227:1]
89889h (1 curve)	1	3- 19- 83+	2 3- -1 -1 -3  4 -5 19-
Curve Equation t Generators 89889h1 [0,1,1,-27556,-7038581] 1 [4432044:223983019:1728]
89889i (1 curve)	1	3- 19- 83+	-2 3- -2  3 -6 -6  2 19-
Curve Equation t Generators 89889i1 [0,1,1,30926,-34859768] 1 [500:-10289:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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