Cremona's table of elliptic curves

18207 = 3² · 7 · 17²

Class	r	Atkin-Lehner	Eigenvalues
18207a (1 curve)	2	3- 7+ 17+	0 3-  1 7+ -5 -5 17+ -5
Curve Equation t Generators 18207a1 [0,0,1,-13872,2320164] 1 [-166:220:1]&[68:1300:1]
18207b (1 curve)	0	3- 7+ 17+	2 3- -3 7+ -3  1 17+ -7
Curve Equation t 18207b1 [0,0,1,-110109,-16491713] 1
18207c (1 curve)	1	3- 7+ 17-	1 3- -4 7+  0 -2 17- -7
Curve Equation t Generators 18207c1 [1,-1,0,-30399,359954] 1 [506:10440:1]
18207d (1 curve)	1	3- 7- 17+	0 3-  1 7-  3  3 17+  3
Curve Equation t Generators 18207d1 [0,0,1,9271698,-9829771956] 1 [41684:8532580:1]
18207e (6 curves)	1	3- 7- 17+	1 3- -2 7-  4 -2 17+  4
Curve Equation t Generators 18207e1 [1,-1,0,2547,10264] 2 [-90860:3032422:42875] 18207e2 [1,-1,0,-10458,90895] 4 [44134:3255193:8] 18207e3 [1,-1,0,-101493,-12344486] 2 [5520110:406643429:1000] 18207e4 [1,-1,0,-127503,17530600] 4 [344:3608:1] 18207e5 [1,-1,0,-2039238,1121366389] 2 [6798:6611:8] 18207e6 [1,-1,0,-88488,28431391] 2 [-142:6245:1]
18207f (1 curve)	1	3- 7- 17+	1 3-  4 7-  0 -2 17+ -7
Curve Equation t Generators 18207f1 [1,-1,0,-105,98] 1 [14:28:1]
18207g (1 curve)	1	3- 7- 17+	-2 3-  1 7-  1  1 17+  1
Curve Equation t Generators 18207g1 [0,0,1,51153,3096418] 1 [391:9103:1]

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

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