Cremona's table of elliptic curves

52142 = 2 · 29² · 31

Class	r	Atkin-Lehner	Eigenvalues
52142a (2 curves)	1	2+ 29+ 31+	2+  2 -3  2  0  2  3 -5
Curve Equation t Generators 52142a1 [1,1,0,-182514,29851316] 1 [89:3740:1] 52142a2 [1,1,0,-922594,-317138556] 1 [-167601:1510557:343]
52142b (4 curves)	0	2+ 29+ 31-	2+  0 -2  0  0  2  6 -4
Curve Equation t 52142b1 [1,-1,0,-578,26820] 2 52142b2 [1,-1,0,-17398,884640] 4 52142b3 [1,-1,0,-25808,-52234] 2 52142b4 [1,-1,0,-278108,56520154] 2
52142c (1 curve)	0	2+ 29+ 31-	2+  0  3 -4  2 -4  3  7
Curve Equation t 52142c1 [1,-1,0,-25808,-1564352] 1
52142d (1 curve)	0	2+ 29- 31+	2+  1  0 -2 -3  0 -2  5
Curve Equation t 52142d1 [1,0,1,-368376,-128568378] 1
52142e (1 curve)	0	2+ 29- 31+	2+ -1  3 -2 -5  4  4  4
Curve Equation t 52142e1 [1,1,0,-100096,1200128] 1
52142f (1 curve)	0	2+ 29- 31+	2+  2 -1  4  2  4  5  5
Curve Equation t 52142f1 [1,1,0,-568,-4764] 1
52142g (1 curve)	0	2+ 29- 31+	2+  2  3 -4  6  0  7 -3
Curve Equation t 52142g1 [1,1,0,-771,-8563] 1
52142h (1 curve)	0	2+ 29- 31+	2+ -3  0  2  1 -4  6  5
Curve Equation t 52142h1 [1,-1,0,-9839437,11882106253] 1
52142i (2 curves)	1	2+ 29- 31-	2+  1  0  2 -3 -4  6  5
Curve Equation t Generators 52142i1 [1,0,1,-11229891,14490400062] 3 [414240360:29328008943:64000] 52142i2 [1,0,1,8975134,58616558260] 1 [5230814498151665875962840:495688176102302589616882217:925593719035271616000]
52142j (2 curves)	1	2+ 29- 31-	2+  1 -3 -4 -3 -4  0 -4
Curve Equation t Generators 52142j1 [1,0,1,-1700,-23210] 3 [-23:73:1] 52142j2 [1,0,1,-132055,-18481478] 1 [-5667:2828:27]
52142k (1 curve)	1	2+ 29- 31-	2+ -1  0  0  3 -6 -6  1
Curve Equation t Generators 52142k1 [1,1,0,241350,7590046] 1 [-5:2529:1]
52142l (1 curve)	0	2- 29+ 31+	2-  1  0  0 -3 -6  6 -1
Curve Equation t 52142l1 [1,0,0,287,331] 1
52142m (2 curves)	0	2- 29+ 31+	2- -1  0  2  3 -4 -6 -5
Curve Equation t 52142m1 [1,1,1,-9444337928,353425255794057] 1 52142m2 [1,1,1,7548088097,1429584143233029] 1
52142n (2 curves)	0	2- 29+ 31+	2- -1 -3 -4  3 -4  0  4
Curve Equation t 52142n1 [1,1,1,-1429297,-563204013] 1 52142n2 [1,1,1,-111057852,-450522645155] 1
52142o (1 curve)	1	2- 29+ 31-	2-  1  3 -2  5  4 -4 -4
Curve Equation t Generators 52142o1 [1,0,0,-119,41] 1 [-10:21:1]
52142p (1 curve)	1	2- 29+ 31-	2- -1  0 -2  3  0  2 -5
Curve Equation t Generators 52142p1 [1,1,1,-438,-5453] 1 [65:463:1]
52142q (1 curve)	1	2- 29+ 31-	2- -2 -3 -2 -4 -2 -1 -7
Curve Equation t Generators 52142q1 [1,0,0,-59100872,174861204544] 1 [10278:-813340:1]
52142r (1 curve)	1	2- 29+ 31-	2-  3  0  2 -1 -4 -6 -5
Curve Equation t Generators 52142r1 [1,-1,1,-11700,490015] 1 [1677:-635:27]
52142s (1 curve)	0	2- 29- 31-	2- -2 -1  4 -2  4 -5 -5
Curve Equation t 52142s1 [1,0,0,-478126,-110453448] 1
52142t (1 curve)	2	2- 29- 31-	2- -2  3 -4 -6  0 -7  3
Curve Equation t Generators 52142t1 [1,0,0,-648849,-201058583] 1 [3434:-196829:1]&[-456:451:1]

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