Cremona's table of elliptic curves

82173 = 3 · 7² · 13 · 43

Class	r	Atkin-Lehner	Eigenvalues
82173a (1 curve)	1	3+ 7+ 13- 43-	1 3+  0 7+  1 13- -3  1
Curve Equation t Generators 82173a1 [1,1,0,-760,12433] 1 [112:1105:1]
82173b (2 curves)	1	3+ 7- 13+ 43-	0 3+ -3 7- -3 13+  6 -2
Curve Equation t Generators 82173b1 [0,-1,1,1013,-35778] 1 [54:416:1] 82173b2 [0,-1,1,-9277,1060107] 1 [-93:1053:1]
82173c (2 curves)	1	3+ 7- 13- 43+	1 3+  0 7- -2 13-  0 -4
Curve Equation t Generators 82173c1 [1,1,0,-3945,-96984] 2 [-809172:554751:21952] 82173c2 [1,1,0,-3210,-133293] 2 [13854:305203:27]
82173d (2 curves)	2	3+ 7- 13- 43-	-1 3+  2 7-  4 13- -6 -4
Curve Equation t Generators 82173d1 [1,1,1,-968927,-831515644] 2 [1282:5306:1]&[2348:98048:1] 82173d2 [1,1,1,-20448142,-35566851832] 2 [-167756:439929:64]&[-2554:3792:1]
82173e (2 curves)	2	3+ 7- 13- 43-	-1 3+ -2 7- -4 13-  2  4
Curve Equation t Generators 82173e1 [1,1,1,-344,13376] 2 [-146:1015:8]&[14:100:1] 82173e2 [1,1,1,-10879,430562] 2 [104:609:1]&[-4:690:1]
82173f (4 curves)	1	3- 7- 13+ 43+	1 3- -2 7-  4 13+ -6  4
Curve Equation t Generators 82173f1 [1,0,1,-4142,101819] 2 [-9:376:1] 82173f2 [1,0,1,-6347,-19015] 4 [-1164:19801:64] 82173f3 [1,0,1,25258,-145435] 2 [18569556:-407928581:46656] 82173f4 [1,0,1,-73232,-7617151] 2 [-119180756:143453733:778688]
82173g (1 curve)	0	3- 7- 13+ 43-	1 3-  0 7-  1 13+  3 -1
Curve Equation t 82173g1 [1,0,1,-37266,-4376291] 1
82173h (2 curves)	0	3- 7- 13- 43+	1 3- -2 7-  0 13-  2  4
Curve Equation t 82173h1 [1,0,1,1248,26065] 2 82173h2 [1,0,1,-9287,274691] 2
82173i (2 curves)	0	3- 7- 13- 43+	1 3-  4 7- -6 13- -4  4
Curve Equation t 82173i1 [1,0,1,-114051789,-468824095421] 2 82173i2 [1,0,1,-113515974,-473447107241] 2
82173j (2 curves)	0	3- 7- 13- 43+	-1 3-  0 7- -4 13-  6  4
Curve Equation t 82173j1 [1,0,0,-14358,655899] 2 82173j2 [1,0,0,-24893,-437634] 2
82173k (2 curves)	0	3- 7- 13- 43+	-1 3- -2 7- -2 13-  6  2
Curve Equation t 82173k1 [1,0,0,-344,279] 2 82173k2 [1,0,0,-3529,-80620] 2
82173l (1 curve)	1	3- 7- 13- 43-	0 3-  1 7-  3 13-  6 -6
Curve Equation t Generators 82173l1 [0,1,1,-2943985,-1945241903] 1 [98429:30875953:1]
82173m (2 curves)	1	3- 7- 13- 43-	-1 3-  4 7-  0 13-  2  4
Curve Equation t Generators 82173m1 [1,0,0,-981,-1632] 2 [320415:2788196:3375] 82173m2 [1,0,0,-11516,-475707] 2 [10209:184403:27]

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