Cremona's table of elliptic curves

68425 = 5² · 7 · 17 · 23

Class	r	Atkin-Lehner	Eigenvalues
68425a (4 curves)	1	5+ 7+ 17- 23-	1  0 5+ 7+  0 -2 17- -4
Curve Equation t Generators 68425a1 [1,-1,0,-154442,11652591] 2 [15816:1338033:512] 68425a2 [1,-1,0,-2107567,1177668216] 4 [5870:37763:8] 68425a3 [1,-1,0,-1748192,1592027591] 2 [74:38213:1] 68425a4 [1,-1,0,-33716942,75364871341] 4 [1553189884:-9018004967:438976]
68425b (2 curves)	1	5+ 7+ 17- 23-	1  0 5+ 7+  6  4 17- -4
Curve Equation t Generators 68425b1 [1,-1,0,-17792,-894509] 2 [-1440558:-1400021:19683] 68425b2 [1,-1,0,-283417,-58003884] 2 [-36431700772194:18589963911947:118660303944]
68425c (2 curves)	0	5+ 7- 17+ 23+	1  0 5+ 7-  2 -4 17+  4
Curve Equation t 68425c1 [1,-1,0,-208817,-34251784] 2 68425c2 [1,-1,0,-3279442,-2285019909] 2
68425d (1 curve)	2	5+ 7- 17+ 23+	1  0 5+ 7- -4  2 17+ -2
Curve Equation t Generators 68425d1 [1,-1,0,238,441] 1 [0:21:1]&[8:49:1]
68425e (2 curves)	1	5+ 7- 17+ 23-	-1 -2 5+ 7-  0 -2 17+ -8
Curve Equation t Generators 68425e1 [1,0,0,-88,4167] 2 [7:-66:1] 68425e2 [1,0,0,-4463,113542] 2 [57:-241:1]
68425f (4 curves)	1	5+ 7- 17- 23+	1  0 5+ 7- -4  2 17-  4
Curve Equation t Generators 68425f1 [1,-1,0,490933,-1181953784] 2 [10662:337669:8] 68425f2 [1,-1,0,-14215192,-19785201909] 4 [-2066:28633:1] 68425f3 [1,-1,0,-38868317,67412901216] 2 [60324:-14769162:1] 68425f4 [1,-1,0,-224860067,-1297767658534] 2 [-35424880:20938811:4096]
68425g (1 curve)	0	5- 7+ 17+ 23+	1 -1 5- 7+  3  4 17+  6
Curve Equation t 68425g1 [1,1,0,425,-8500] 1
68425h (1 curve)	2	5- 7+ 17- 23-	-1  0 5- 7+ -4 -2 17- -2
Curve Equation t Generators 68425h1 [1,-1,1,5945,61072] 1 [10:343:1]&[19:415:1]
68425i (1 curve)	1	5- 7- 17- 23-	-1  1 5- 7-  3 -4 17-  6
Curve Equation t Generators 68425i1 [1,0,0,17,-68] 1 [3:2:1]

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