Cremona's table of elliptic curves

71638 = 2 · 7² · 17 · 43

Class	r	Atkin-Lehner	Eigenvalues
71638a (1 curve)	0	2+ 7+ 17- 43+	2+ -2  4 7+  5  0 17-  3
Curve Equation t 71638a1 [1,0,1,96161,13993074] 1
71638b (1 curve)	2	2+ 7- 17+ 43+	2+ -1 -2 7- -3 -2 17+ -5
Curve Equation t Generators 71638b1 [1,1,0,11294,-3044236] 1 [958:1187:8]&[209:-3020:1]
71638c (2 curves)	0	2+ 7- 17+ 43+	2+  2  2 7- -4  0 17+  6
Curve Equation t 71638c1 [1,1,0,661,-63223] 2 71638c2 [1,1,0,-20409,-1087225] 2
71638d (1 curve)	0	2+ 7- 17+ 43+	2+  2 -4 7-  5  0 17+ -3
Curve Equation t 71638d1 [1,1,0,1963,-39955] 1
71638e (1 curve)	1	2+ 7- 17+ 43-	2+  1  1 7- -4  7 17+ -6
Curve Equation t Generators 71638e1 [1,0,1,-173,106180] 1 [25:-356:1]
71638f (3 curves)	1	2+ 7- 17+ 43-	2+ -1  3 7-  0 -5 17+ -2
Curve Equation t Generators 71638f1 [1,1,0,-1593946,-2226639148] 1 [366955:16774271:125] 71638f2 [1,1,0,14053959,53574512293] 1 [24877:3962417:1] 71638f3 [1,1,0,-766979336,8186095104832] 1 [237334:27062025:8]
71638g (2 curves)	1	2+ 7- 17- 43+	2+  0  2 7-  6 -4 17- -2
Curve Equation t Generators 71638g1 [1,-1,0,50069,130397637] 2 [-185708416:-23378729137:2097152] 71638g2 [1,-1,0,-3573971,2537485005] 2 [-6746:566285:8]
71638h (1 curve)	1	2+ 7- 17- 43+	2+  1  3 7-  2 -5 17- -2
Curve Equation t Generators 71638h1 [1,0,1,268,-542] 1 [4:22:1]
71638i (1 curve)	1	2+ 7- 17- 43+	2+ -3 -1 7- -2  3 17-  2
Curve Equation t Generators 71638i1 [1,-1,0,-375498475,-2801540877563] 1 [37221:-5916667:1]
71638j (2 curves)	0	2+ 7- 17- 43-	2+ -1  3 7-  6  1 17-  4
Curve Equation t 71638j1 [1,1,0,-309901,-66533683] 1 71638j2 [1,1,0,-67596,-166673072] 1
71638k (1 curve)	0	2- 7+ 17+ 43+	2-  1 -4 7+  3 -5 17+  0
Curve Equation t 71638k1 [1,0,0,-294959470,-1949831695484] 1
71638l (1 curve)	1	2- 7+ 17+ 43-	2- -1  0 7+  1  3 17+  4
Curve Equation t Generators 71638l1 [1,1,1,-7253,-407877] 1 [127:796:1]
71638m (2 curves)	0	2- 7+ 17- 43-	2- -2  0 7+ -3 -4 17-  5
Curve Equation t 71638m1 [1,0,0,-2108,-154904] 3 71638m2 [1,0,0,-293658,-61275446] 1
71638n (2 curves)	1	2- 7- 17+ 43+	2-  2  2 7- -4  6 17+  8
Curve Equation t Generators 71638n1 [1,1,1,-64142,4221643] 2 [1091:34587:1] 71638n2 [1,1,1,-401262,-94756789] 2 [31521:850601:27]
71638o (1 curve)	2	2- 7- 17+ 43-	2- -1 -1 7- -4 -1 17+  2
Curve Equation t Generators 71638o1 [1,1,1,-8086,-491373] 1 [321:5327:1]&[125:623:1]
71638p (2 curves)	0	2- 7- 17+ 43-	2-  2  0 7- -3  4 17+ -5
Curve Equation t 71638p1 [1,1,1,-43,433] 1 71638p2 [1,1,1,-5993,176077] 1
71638q (2 curves)	2	2- 7- 17- 43+	2-  0 -4 7- -2 -2 17- -4
Curve Equation t Generators 71638q1 [1,-1,1,-2827,57355] 2 [37:30:1]&[-11:300:1] 71638q2 [1,-1,1,-44967,3681395] 2 [123:-68:1]&[758:3733:8]
71638r (1 curve)	0	2- 7- 17- 43+	2-  1  3 7-  6  3 17- -6
Curve Equation t 71638r1 [1,0,0,-139259,-20467903] 1
71638s (1 curve)	0	2- 7- 17- 43+	2- -1  1 7-  0 -1 17-  0
Curve Equation t 71638s1 [1,1,1,685,-268227] 1
71638t (1 curve)	0	2- 7- 17- 43+	2- -1  1 7-  6 -1 17-  6
Curve Equation t 71638t1 [1,1,1,136915995,2955328936363] 1
71638u (1 curve)	0	2- 7- 17- 43+	2- -1 -2 7- -3  2 17-  3
Curve Equation t 71638u1 [1,1,1,-3039,-304193] 1
71638v (1 curve)	0	2- 7- 17- 43+	2- -1  4 7-  3  5 17-  0
Curve Equation t 71638v1 [1,1,1,-6019581,5682060691] 1
71638w (1 curve)	2	2- 7- 17- 43+	2- -3 -1 7-  0 -1 17- -8
Curve Equation t Generators 71638w1 [1,-1,1,-8658,313233] 1 [-47:807:1]&[-19:695:1]
71638x (1 curve)	2	2- 7- 17- 43+	2- -3 -1 7- -2 -5 17-  2
Curve Equation t Generators 71638x1 [1,-1,1,-305598,147259725] 1 [1465:-54045:1]&[569:12259:1]
71638y (1 curve)	1	2- 7- 17- 43-	2-  1  0 7-  1 -3 17- -4
Curve Equation t Generators 71638y1 [1,0,0,-148,1168] 1 [-6:46:1]

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