Cremona's table of elliptic curves

74589 = 3 · 23² · 47

Class	r	Atkin-Lehner	Eigenvalues
74589a (1 curve)	0	3+ 23- 47+	0 3+  1  3  3 -4 -8  6
Curve Equation t 74589a1 [0,-1,1,-705,2150] 1
74589b (2 curves)	0	3+ 23- 47+	1 3+  2  2  0 -2 -4 -4
Curve Equation t 74589b1 [1,1,0,-49679,4241280] 2 74589b2 [1,1,0,-48644,4427787] 2
74589c (2 curves)	0	3+ 23- 47+	1 3+  2 -2 -4 -2  0  4
Curve Equation t 74589c1 [1,1,0,-16674,-652545] 2 74589c2 [1,1,0,-88089,9474102] 2
74589d (2 curves)	0	3+ 23- 47+	1 3+ -2 -2  0 -2  4  4
Curve Equation t 74589d1 [1,1,0,-26280466,-51866457545] 2 74589d2 [1,1,0,-25732951,-54130213064] 2
74589e (2 curves)	1	3+ 23- 47-	-1 3+  0 -4  0  6  6 -2
Curve Equation t Generators 74589e1 [1,1,1,-4243,150080] 2 [718:5307:8] 74589e2 [1,1,1,-75658,7977164] 2 [13:2638:1]
74589f (1 curve)	1	3+ 23- 47-	-1 3+  1 -2  4  4 -6  1
Curve Equation t Generators 74589f1 [1,1,1,-5830,-11035096] 1 [2113886235634:138138640397088:487443403]
74589g (1 curve)	1	3+ 23- 47-	-1 3+ -1  2 -4  4  6 -1
Curve Equation t Generators 74589g1 [1,1,1,-11,902] 1 [-10:16:1]
74589h (4 curves)	1	3+ 23- 47-	-1 3+ -2  4  4 -2  6  4
Curve Equation t Generators 74589h1 [1,1,1,-204734,171111242] 4 [-152572467:3694648204:300763] 74589h2 [1,1,1,-6047539,5703079016] 4 [26809116807648:-238910051340565:21577826304] 74589h3 [1,1,1,-8906784,-244150584] 2 [5445802602830521701630178318:386913699286912222769612667797:838460490049662266194408] 74589h4 [1,1,1,-96673174,365813102252] 2 [20466576:-366131195:4096]
74589i (2 curves)	1	3- 23- 47+	0 3-  0  4  0  2  3  1
Curve Equation t Generators 74589i1 [0,1,1,-118143,-15669808] 1 [32516:477655:64] 74589i2 [0,1,1,-38793,-36169087] 1 [3586414585052:56991619601521:7392083392]
74589j (4 curves)	1	3- 23- 47+	-1 3- -2  0 -4 -2 -2  0
Curve Equation t Generators 74589j1 [1,0,0,-1069,-38632] 2 [47:101:1] 74589j2 [1,0,0,-24874,-1509781] 4 [1634:64919:1] 74589j3 [1,0,0,-32809,-467122] 2 [-154:3251:8] 74589j4 [1,0,0,-397819,-96610756] 2 [17945818:666220471:10648]
74589k (1 curve)	1	3- 23- 47+	2 3-  1  3 -1 -2 -2 -6
Curve Equation t Generators 74589k1 [0,1,1,-13930,628153] 1 [-947714750:17486614189:15625000]
74589l (1 curve)	0	3- 23- 47-	-2 3-  3  3  5  2  6  6
Curve Equation t 74589l1 [0,1,1,-6524,-79120] 1

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