Cremona's table of elliptic curves

8442 = 2 · 3² · 7 · 67

Class	r	Atkin-Lehner	Eigenvalues
8442a (1 curve)	1	2+ 3- 7- 67+	2+ 3-  1 7-  4 -3  0  4
Curve Equation t Generators 8442a1 [1,-1,0,-504,3136] 1 [0:56:1]
8442b (3 curves)	0	2+ 3- 7- 67-	2+ 3- -3 7-  6  5 -6  2
Curve Equation t 8442b1 [1,-1,0,-1611,-19899] 1 8442b2 [1,-1,0,-39051,2978181] 3 8442b3 [1,-1,0,-3162591,2165565321] 3
8442c (4 curves)	0	2- 3- 7- 67+	2- 3-  2 7-  4  2 -2  0
Curve Equation t 8442c1 [1,-1,1,1606,27641] 2 8442c2 [1,-1,1,-9914,276473] 4 8442c3 [1,-1,1,-58154,-5164999] 2 8442c4 [1,-1,1,-145994,21504953] 2
8442d (1 curve)	1	2- 3- 7- 67-	2- 3-  1 7- -2 -7  2 -2
Curve Equation t Generators 8442d1 [1,-1,1,-32,47] 1 [1:3:1]
8442e (2 curves)	1	2- 3- 7- 67-	2- 3- -2 7-  4  2  2 -8
Curve Equation t Generators 8442e1 [1,-1,1,-3281,-367423] 2 [159:1684:1] 8442e2 [1,-1,1,-99761,-12060799] 2 [-189:220:1]

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

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