Cremona's table of elliptic curves

18189 = 3² · 43 · 47

Class	r	Atkin-Lehner	Eigenvalues
18189a (1 curve)	2	3+ 43- 47+	-2 3+ -3 -1 -3 -4  0 -2
Curve Equation t Generators 18189a1 [0,0,1,-459,-3220] 1 [-14:21:1]&[-9:13:1]
18189b (1 curve)	1	3+ 43- 47-	2 3+  3 -1  3 -4  0 -2
Curve Equation t Generators 18189b1 [0,0,1,-51,119] 1 [66:125:8]
18189c (1 curve)	1	3- 43+ 47-	0 3- -2  0 -3  5  1 -6
Curve Equation t Generators 18189c1 [0,0,1,744,-51053] 1 [103:1057:1]
18189d (1 curve)	1	3- 43+ 47-	-1 3-  3  4 -6  4 -3  1
Curve Equation t Generators 18189d1 [1,-1,1,-581,5528] 1 [12:7:1]
18189e (1 curve)	0	3- 43- 47-	0 3-  1  3 -3 -4  4  4
Curve Equation t 18189e1 [0,0,1,-6312,-192186] 1
18189f (1 curve)	0	3- 43- 47-	1 3-  1  0  2  4  1  3
Curve Equation t 18189f1 [1,-1,0,-22869,1188756] 1
18189g (1 curve)	0	3- 43- 47-	2 3-  0 -4  3 -7  3 -8
Curve Equation t 18189g1 [0,0,1,-585,-5461] 1

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

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