Cremona's table of elliptic curves

8142 = 2 · 3 · 23 · 59

Class	r	Atkin-Lehner	Eigenvalues
8142a (2 curves)	1	2+ 3+ 23+ 59+	2+ 3+  0 -4  4 -2 -8  0
Curve Equation t Generators 8142a1 [1,1,0,-1870,-46748] 2 [79:514:1] 8142a2 [1,1,0,-33730,-2398016] 2 [315:4127:1]
8142b (4 curves)	1	2+ 3+ 23- 59-	2+ 3+ -2 -4  0  2  2 -4
Curve Equation t Generators 8142b1 [1,1,0,64,0] 2 [9:33:1] 8142b2 [1,1,0,-256,-320] 4 [-8:40:1] 8142b3 [1,1,0,-3016,-64904] 2 [-31:17:1] 8142b4 [1,1,0,-2616,50184] 2 [-21:321:1]
8142c (2 curves)	0	2+ 3- 23+ 59+	2+ 3-  0 -4 -3 -1  3 -4
Curve Equation t 8142c1 [1,0,1,19199,56084] 3 8142c2 [1,0,1,-254176,-53381074] 1
8142d (2 curves)	0	2+ 3- 23+ 59+	2+ 3- -2  0  2 -2 -4 -6
Curve Equation t 8142d1 [1,0,1,-472,-3994] 2 8142d2 [1,0,1,-7552,-253210] 2
8142e (1 curve)	0	2- 3+ 23- 59-	2- 3+  0  0 -5 -5  5  4
Curve Equation t 8142e1 [1,1,1,-13,113] 1
8142f (4 curves)	1	2- 3- 23+ 59+	2- 3-  0 -4  0  2  0 -4
Curve Equation t Generators 8142f1 [1,0,0,-23703,1400553] 6 [-114:1677:1] 8142f2 [1,0,0,-16343,2288169] 6 [100:1237:1] 8142f3 [1,0,0,-99303,-10716615] 2 [-180:1245:1] 8142f4 [1,0,0,144037,-54955827] 2 [99170:2905367:125]
8142g (2 curves)	1	2- 3- 23+ 59+	2- 3- -2  0 -4  4 -4  0
Curve Equation t Generators 8142g1 [1,0,0,-18037854,-19050608700] 2 [-3492:38610:1] 8142g2 [1,0,0,-259210334,-1606013761596] 2 [-9380:15058:1]
8142h (1 curve)	1	2- 3- 23+ 59+	2- 3- -2  3 -1 -5  5 -6
Curve Equation t Generators 8142h1 [1,0,0,-84,360] 1 [18:60:1]
8142i (2 curves)	0	2- 3- 23- 59+	2- 3- -2  0  0 -4  4  4
Curve Equation t 8142i1 [1,0,0,-24209,-1451835] 2 8142i2 [1,0,0,-24439,-1422901] 2
8142j (1 curve)	0	2- 3- 23- 59+	2- 3-  4  0 -3  5  1  4
Curve Equation t 8142j1 [1,0,0,4189,-347007] 1

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