Cremona's table of elliptic curves

71757 = 3² · 7 · 17 · 67

Class	r	Atkin-Lehner	Eigenvalues
71757a (1 curve)	1	3+ 7+ 17+ 67+	0 3+  3 7+  3 -5 17+  1
Curve Equation t Generators 71757a1 [0,0,1,114,119] 1 [37:234:1]
71757b (2 curves)	1	3+ 7+ 17+ 67+	-1 3+  2 7+ -2  4 17+  0
Curve Equation t Generators 71757b1 [1,-1,1,-704,-6830] 2 [-384:506:27] 71757b2 [1,-1,1,-1649,16228] 2 [-26:215:1]
71757c (1 curve)	2	3+ 7+ 17- 67+	0 3+ -3 7+ -3 -5 17-  1
Curve Equation t Generators 71757c1 [0,0,1,1026,-3220] 1 [50:465:8]&[90:904:1]
71757d (2 curves)	0	3+ 7+ 17- 67+	1 3+ -2 7+  2  4 17-  0
Curve Equation t 71757d1 [1,-1,0,-78,279] 2 71757d2 [1,-1,0,-183,-540] 2
71757e (2 curves)	0	3- 7+ 17+ 67+	1 3- -4 7+  0  6 17+ -4
Curve Equation t 71757e1 [1,-1,0,-45339,3726944] 2 71757e2 [1,-1,0,-48354,3205349] 2
71757f (1 curve)	0	3- 7+ 17+ 67+	-2 3-  2 7+ -3 -5 17+ -4
Curve Equation t 71757f1 [0,0,1,-664569,-207688516] 1
71757g (4 curves)	1	3- 7+ 17+ 67-	1 3-  2 7+  4  2 17+  8
Curve Equation t Generators 71757g1 [1,-1,0,-13266,-614993] 2 [133219718:7683930041:39304] 71757g2 [1,-1,0,-215271,-38389928] 4 [-2104030581916696:982922351101748:7855676688439] 71757g3 [1,-1,0,-218286,-37256891] 2 [-245072020:-551640589:1092727] 71757g4 [1,-1,0,-3444336,-2459542865] 2 [-289952617308102497636622963176600:144975060364938275611665271060993:270667584328906394669096000000]
71757h (1 curve)	1	3- 7+ 17- 67+	1 3-  4 7+  5 -2 17-  0
Curve Equation t Generators 71757h1 [1,-1,0,-9360,-348867] 1 [902:669:8]
71757i (1 curve)	1	3- 7+ 17- 67+	-2 3-  2 7+  3  0 17- -7
Curve Equation t Generators 71757i1 [0,0,1,261,-36484] 1 [163:2082:1]
71757j (1 curve)	1	3- 7+ 17- 67+	-2 3- -2 7+  5  4 17- -3
Curve Equation t Generators 71757j1 [0,0,1,4209,5796] 1 [912:27611:1]
71757k (1 curve)	0	3- 7+ 17- 67-	2 3-  0 7+  3  1 17- -6
Curve Equation t 71757k1 [0,0,1,-45,-7] 1
71757l (1 curve)	2	3- 7+ 17- 67-	-2 3- -2 7+ -5 -4 17-  7
Curve Equation t Generators 71757l1 [0,0,1,4839,-220374] 1 [198:2915:1]&[84:882:1]
71757m (1 curve)	1	3- 7- 17+ 67+	2 3-  3 7-  1 -7 17+ -5
Curve Equation t Generators 71757m1 [0,0,1,-12685881,-17395275951] 1 [108773348:141805410925:64]
71757n (1 curve)	0	3- 7- 17+ 67-	0 3-  4 7-  3  3 17+ -6
Curve Equation t 71757n1 [0,0,1,-5088,-139689] 1
71757o (1 curve)	0	3- 7- 17+ 67-	2 3-  0 7-  1 -3 17+ -6
Curve Equation t 71757o1 [0,0,1,-34275,-2282333] 1
71757p (1 curve)	0	3- 7- 17- 67+	-1 3-  0 7- -3 -2 17- -4
Curve Equation t 71757p1 [1,-1,1,-288950,-59711290] 1
71757q (3 curves)	1	3- 7- 17- 67-	0 3-  0 7-  3  5 17-  2
Curve Equation t Generators 71757q1 [0,0,1,-29910,-1991007] 1 [-37267704:-175229:373248] 71757q2 [0,0,1,-30810,-1864818] 3 [-108:450:1] 71757q3 [0,0,1,-579540,169537329] 3 [-5343:448928:27]
71757r (2 curves)	1	3- 7- 17- 67-	-1 3- -2 7-  0 -4 17-  6
Curve Equation t Generators 71757r1 [1,-1,1,-716,60446] 2 [22:-246:1] 71757r2 [1,-1,1,-27851,1786232] 2 [54:634:1]

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