Cremona's table of elliptic curves

9345 = 3 · 5 · 7 · 89

Class	r	Atkin-Lehner	Eigenvalues
9345a (2 curves)	1	3+ 5- 7+ 89-	1 3+ 5- 7+ -6  6  2  4
Curve Equation t Generators 9345a1 [1,1,0,-147,504] 2 [104:1008:1] 9345a2 [1,1,0,298,3441] 2 [-8:29:1]
9345b (1 curve)	1	3- 5+ 7- 89+	-1 3- 5+ 7-  3  4  3 -7
Curve Equation t Generators 9345b1 [1,0,0,514,9711] 1 [73:625:1]
9345c (1 curve)	0	3- 5+ 7- 89-	2 3- 5+ 7-  2 -4  4 -2
Curve Equation t 9345c1 [0,1,1,-756,-8269] 1
9345d (1 curve)	1	3- 5- 7- 89-	0 3- 5- 7-  0 -2 -4 -2
Curve Equation t Generators 9345d1 [0,1,1,195,5159] 1 [-9:52:1]
9345e (1 curve)	1	3- 5- 7- 89-	1 3- 5- 7-  3  0 -7  7
Curve Equation t Generators 9345e1 [1,0,1,-3433,-280069] 1 [565:13067:1]
9345f (4 curves)	1	3- 5- 7- 89-	1 3- 5- 7- -4  2  2  0
Curve Equation t Generators 9345f1 [1,0,1,-113383,14659181] 2 [-155:5417:1] 9345f2 [1,0,1,-152988,3506413] 4 [-121:4560:1] 9345f3 [1,0,1,-1543613,-734637337] 2 [-711:2245:1] 9345f4 [1,0,1,603957,28031431] 2 [4630:188931:8]
9345g (4 curves)	1	3- 5- 7- 89-	-1 3- 5- 7-  0 -2  2 -4
Curve Equation t Generators 9345g1 [1,0,0,-195,1032] 2 [291:247:27] 9345g2 [1,0,0,-200,975] 4 [15:30:1] 9345g3 [1,0,0,-725,-6480] 2 [36:102:1] 9345g4 [1,0,0,245,4802] 4 [-7:56:1]

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

Part of Computational Number Theory
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