Cremona's table of elliptic curves

50589 = 3² · 7 · 11 · 73

Class	r	Atkin-Lehner	Eigenvalues
50589a (1 curve)	1	3+ 7+ 11+ 73+	-1 3+ -2 7+ 11+ -1 -4 -5
Curve Equation t Generators 50589a1 [1,-1,1,38824,-44241200] 1 [1804:75872:1]
50589b (1 curve)	2	3+ 7+ 11+ 73-	0 3+ -1 7+ 11+  0  3 -1
Curve Equation t Generators 50589b1 [0,0,1,-108,462] 1 [6:-6:1]&[-62:227:8]
50589c (1 curve)	0	3+ 7+ 11- 73+	1 3+  2 7+ 11- -1  4 -5
Curve Equation t 50589c1 [1,-1,0,4314,1637125] 1
50589d (1 curve)	1	3+ 7+ 11- 73-	0 3+  1 7+ 11-  0 -3 -1
Curve Equation t Generators 50589d1 [0,0,1,-972,-12481] 1 [39:94:1]
50589e (1 curve)	2	3+ 7- 11+ 73+	0 3+ -3 7- 11+ -6 -3  1
Curve Equation t Generators 50589e1 [0,0,1,-9054,336360] 1 [-64:808:1]&[-22:724:1]
50589f (1 curve)	2	3+ 7- 11+ 73+	-2 3+ -3 7- 11+ -4  1  1
Curve Equation t Generators 50589f1 [0,0,1,-69,1172] 1 [-12:16:1]&[10:38:1]
50589g (1 curve)	1	3+ 7- 11- 73+	0 3+  3 7- 11- -6  3  1
Curve Equation t Generators 50589g1 [0,0,1,-81486,-9081727] 1 [633:13891:1]
50589h (1 curve)	1	3+ 7- 11- 73+	2 3+  3 7- 11- -4 -1  1
Curve Equation t Generators 50589h1 [0,0,1,-621,-31651] 1 [306:185:8]
50589i (1 curve)	0	3- 7+ 11+ 73+	-1 3-  2 7+ 11+  1 -4 -3
Curve Equation t 50589i1 [1,-1,1,-14801054,-21913612590] 1
50589j (1 curve)	1	3- 7+ 11- 73+	1 3- -1 7+ 11- -4 -2  1
Curve Equation t Generators 50589j1 [1,-1,0,-180,679] 1 [2:17:1]
50589k (1 curve)	0	3- 7+ 11- 73-	0 3-  1 7+ 11-  4  2 -2
Curve Equation t 50589k1 [0,0,1,4502418,2120304438] 1
50589l (1 curve)	1	3- 7- 11+ 73+	1 3-  3 7- 11+ -4  4 -2
Curve Equation t Generators 50589l1 [1,-1,0,-1428,-23527] 1 [51225311159928:883616082082595:159837789483]
50589m (6 curves)	0	3- 7- 11+ 73-	1 3-  2 7- 11+ -2 -2  4
Curve Equation t 50589m1 [1,-1,0,-6573411,-6485213480] 2 50589m2 [1,-1,0,-6573456,-6485120213] 4 50589m3 [1,-1,0,-6307371,-7034372870] 2 50589m4 [1,-1,0,-6840261,-5929899008] 4 50589m5 [1,-1,0,11624724,-32412380495] 2 50589m6 [1,-1,0,-29574126,56083537939] 2
50589n (1 curve)	2	3- 7- 11+ 73-	-2 3- -1 7- 11+  4 -5 -5
Curve Equation t Generators 50589n1 [0,0,1,-3,1480] 1 [10:49:1]&[-8:31:1]
50589o (1 curve)	1	3- 7- 11- 73-	0 3-  1 7- 11-  0  0  8
Curve Equation t Generators 50589o1 [0,0,1,-3162,-70151] 1 [383:7409:1]
50589p (1 curve)	1	3- 7- 11- 73-	0 3-  1 7- 11-  6 -3 -1
Curve Equation t Generators 50589p1 [0,0,1,-18822,993919] 1 [73:94:1]

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