Cremona's table of elliptic curves

1407 = 3 · 7 · 67

Class	r	Atkin-Lehner	Eigenvalues
1407a (2 curves)	0	3+ 7+ 67-	-1 3+  4 7+ -4  4  2  2
Curve Equation t 1407a1 [1,1,1,-21,-54] 2 1407a2 [1,1,1,-356,-2734] 2
1407b (1 curve)	0	3- 7+ 67+	2 3-  4 7+ -2  4 -3  7
Curve Equation t 1407b1 [0,1,1,-3946,94183] 1
1407c (4 curves)	1	3- 7+ 67-	-1 3-  2 7+ -4  2 -6 -8
Curve Equation t Generators 1407c1 [1,0,0,3713,-63568] 4 [41:377:1] 1407c2 [1,0,0,-18732,-570825] 4 [-93:654:1] 1407c3 [1,0,0,-262947,-51904818] 2 [-294:252:1] 1407c4 [1,0,0,-133637,18388500] 2 [-311:5623:1]
1407d (1 curve)	1	3- 7- 67+	0 3- -2 7-  0  0  1 -3
Curve Equation t Generators 1407d1 [0,1,1,-29,56] 1 [-2:10:1]
1407e (2 curves)	1	3- 7- 67+	1 3-  0 7- -4 -4 -6 -2
Curve Equation t Generators 1407e1 [1,0,1,-11,-79] 2 [9:19:1] 1407e2 [1,0,1,-346,-2491] 2 [-11:8:1]
1407f (1 curve)	1	3- 7- 67+	-2 3-  0 7-  2 -4 -3 -5
Curve Equation t Generators 1407f1 [0,1,1,-68,2822] 1 [64:514:1]

Data from Elliptic Curve Data by J. E. Cremona.
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