Cremona's table of elliptic curves

18531 = 3² · 29 · 71

Class	r	Atkin-Lehner	Eigenvalues
18531a (1 curve)	2	3+ 29+ 71-	1 3+  2 -3 -4 -6  0 -7
Curve Equation t Generators 18531a1 [1,-1,0,-96,-451] 1 [20:63:1]&[28:121:1]
18531b (1 curve)	2	3+ 29- 71+	-1 3+ -2 -3  4 -6  0 -7
Curve Equation t Generators 18531b1 [1,-1,1,-11,20] 1 [-2:6:1]&[0:4:1]
18531c (4 curves)	0	3- 29+ 71+	1 3-  2 -4  0 -2  6 -4
Curve Equation t 18531c1 [1,-1,0,-1161,15520] 2 18531c2 [1,-1,0,-1206,14287] 4 18531c3 [1,-1,0,-5121,-125870] 2 18531c4 [1,-1,0,1989,74992] 2
18531d (1 curve)	1	3- 29- 71+	0 3-  1  2  0 -4 -2  2
Curve Equation t Generators 18531d1 [0,0,1,-12,-531] 1 [9:9:1]
18531e (1 curve)	1	3- 29- 71+	2 3-  1  0  4 -6  6  2
Curve Equation t Generators 18531e1 [0,0,1,-327,-2277] 1 [88566:1791503:216]

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

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