Cremona's table of elliptic curves

8722 = 2 · 7² · 89

Class	r	Atkin-Lehner	Eigenvalues
8722a (1 curve)	0	2+ 7+ 89-	2+  2 -4 7+ -3 -2  5 -8
Curve Equation t 8722a1 [1,1,0,808,23360] 1
8722b (2 curves)	0	2+ 7+ 89-	2+ -2  0 7+ -3  2 -3 -4
Curve Equation t 8722b1 [1,0,1,-13256,-604320] 3 8722b2 [1,0,1,-1081701,-433110856] 1
8722c (1 curve)	0	2+ 7- 89+	2+  1  1 7-  6 -4  7  5
Curve Equation t 8722c1 [1,0,1,-1328563,590384974] 1
8722d (1 curve)	0	2+ 7- 89+	2+  1 -1 7-  0 -2  3  5
Curve Equation t 8722d1 [1,0,1,-80974,-8875520] 1
8722e (1 curve)	2	2+ 7- 89+	2+ -1  1 7- -6 -4 -1 -5
Curve Equation t Generators 8722e1 [1,1,0,318,232] 1 [6:46:1]&[27:158:1]
8722f (2 curves)	0	2+ 7- 89+	2+  2  0 7- -3 -2  3  4
Curve Equation t 8722f1 [1,1,0,-270,1646] 1 8722f2 [1,1,0,-22075,1253253] 1
8722g (2 curves)	0	2+ 7- 89+	2+  2  4 7-  0 -4  2 -2
Curve Equation t 8722g1 [1,1,0,23152,-7832320] 2 8722g2 [1,1,0,-478608,-120728320] 2
8722h (2 curves)	0	2+ 7- 89+	2+ -2  2 7-  0  4  6  2
Curve Equation t 8722h1 [1,0,1,-4485,115196] 2 8722h2 [1,0,1,-4975,88344] 2
8722i (2 curves)	0	2+ 7- 89+	2+ -2 -2 7-  0  4 -2  2
Curve Equation t 8722i1 [1,0,1,-2182,-33960] 2 8722i2 [1,0,1,-33542,-2367144] 2
8722j (2 curves)	0	2+ 7- 89+	2+ -2 -2 7-  0 -4 -2  2
Curve Equation t 8722j1 [1,0,1,-523756322,4613578575540] 2 8722j2 [1,0,1,-523758282,4613542318676] 2
8722k (1 curve)	0	2+ 7- 89+	2+ -2  4 7- -3  2 -5  8
Curve Equation t 8722k1 [1,0,1,16,-66] 1
8722l (1 curve)	0	2+ 7- 89+	2+  3  3 7-  0  6  3  7
Curve Equation t 8722l1 [1,-1,0,-58,-4348] 1
8722m (2 curves)	1	2- 7- 89+	2-  0  0 7- -4  2  2  8
Curve Equation t Generators 8722m1 [1,-1,1,-1455,-56521] 2 [83:582:1] 8722m2 [1,-1,1,-32815,-2276809] 2 [-103:100:1]
8722n (1 curve)	1	2- 7- 89+	2-  1  1 7-  0 -4  7 -7
Curve Equation t Generators 8722n1 [1,0,0,-2010,-35932] 1 [88:642:1]
8722o (2 curves)	2	2- 7- 89-	2- -1 -3 7- -6 -2 -3 -5
Curve Equation t Generators 8722o1 [1,1,1,293,9897] 1 [-15:56:1]&[-1:98:1] 8722o2 [1,1,1,-27147,1711177] 1 [435:-30758:27]&[83:154:1]

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