Cremona's table of elliptic curves

51136 = 2⁶ · 17 · 47

Class	r	Atkin-Lehner	Eigenvalues
51136a (2 curves)	1	2+ 17+ 47+	2+ -2  0  4  2 -6 17+  0
Curve Equation t Generators 51136a1 [0,1,0,-50753,-4415201] 2 [-43925:7876:343] 51136a2 [0,1,0,-60993,-2516705] 2 [507:9856:1]
51136b (2 curves)	2	2+ 17+ 47-	2+  0  2 -2 -2 -6 17+  0
Curve Equation t Generators 51136b1 [0,0,0,-524,3952] 2 [-24:52:1]&[6:32:1] 51136b2 [0,0,0,-8044,277680] 2 [53:15:1]&[70:240:1]
51136c (4 curves)	2	2+ 17- 47+	2+  0 -2 -4  4  2 17- -4
Curve Equation t Generators 51136c1 [0,0,0,724,8240] 2 [-8:44:1]&[88:868:1] 51136c2 [0,0,0,-4396,79920] 4 [-27:423:1]&[504:11220:1] 51136c3 [0,0,0,-26156,-1565136] 2 [-106:128:1]&[216:1692:1] 51136c4 [0,0,0,-64556,6312496] 2 [150:64:1]&[165:391:1]
51136d (2 curves)	0	2+ 17- 47+	2+  0  4  4 -6 -6 17-  0
Curve Equation t 51136d1 [0,0,0,-28,720] 2 51136d2 [0,0,0,-1388,19760] 2
51136e (2 curves)	2	2+ 17- 47+	2+ -2 -4 -2  0 -2 17- -4
Curve Equation t Generators 51136e1 [0,1,0,-1025,11359] 2 [-19:156:1]&[-5:128:1] 51136e2 [0,1,0,-16065,778399] 2 [75:-32:1]&[89:248:1]
51136f (2 curves)	1	2+ 17- 47-	2+ -2  0 -2  0  6 17-  4
Curve Equation t Generators 51136f1 [0,1,0,-7553,236767] 2 [106:799:1] 51136f2 [0,1,0,-22593,-1017569] 2 [-85:544:1]
51136g (2 curves)	0	2- 17+ 47+	2-  0  2  2  2 -6 17+  0
Curve Equation t 51136g1 [0,0,0,-524,-3952] 2 51136g2 [0,0,0,-8044,-277680] 2
51136h (2 curves)	0	2- 17+ 47+	2-  2  0  0  6 -2 17+  0
Curve Equation t 51136h1 [0,-1,0,-5913,-170791] 2 51136h2 [0,-1,0,-94273,-11109759] 2
51136i (2 curves)	1	2- 17+ 47-	2-  2  0 -4 -2 -6 17+  0
Curve Equation t Generators 51136i1 [0,-1,0,-50753,4415201] 2 [1015:31584:1] 51136i2 [0,-1,0,-60993,2516705] 2 [6663:42112:27]
51136j (2 curves)	1	2- 17+ 47-	2- -2  0  0 -6 -2 17+  0
Curve Equation t Generators 51136j1 [0,1,0,-5913,170791] 2 [5:376:1] 51136j2 [0,1,0,-94273,11109759] 2 [193:376:1]
51136k (2 curves)	1	2- 17- 47+	2-  2  0  2  0  6 17- -4
Curve Equation t Generators 51136k1 [0,-1,0,-7553,-236767] 2 [-41:48:1] 51136k2 [0,-1,0,-22593,1017569] 2 [3405:10736:27]
51136l (2 curves)	1	2- 17- 47+	2- -2  0  2 -4  2 17-  4
Curve Equation t Generators 51136l1 [0,1,0,-68,190] 2 [21:92:1] 51136l2 [0,1,0,-153,-473] 2 [-9:16:1]
51136m (2 curves)	1	2- 17- 47+	2- -2  2  2 -2  6 17-  4
Curve Equation t Generators 51136m1 [0,1,0,1308,87430] 2 [1121:37570:1] 51136m2 [0,1,0,-23257,1271463] 2 [67:136:1]
51136n (4 curves)	0	2- 17- 47-	2-  0 -2  4 -4  2 17-  4
Curve Equation t 51136n1 [0,0,0,724,-8240] 2 51136n2 [0,0,0,-4396,-79920] 4 51136n3 [0,0,0,-26156,1565136] 2 51136n4 [0,0,0,-64556,-6312496] 2
51136o (2 curves)	0	2- 17- 47-	2-  0  4 -4  6 -6 17-  0
Curve Equation t 51136o1 [0,0,0,-28,-720] 2 51136o2 [0,0,0,-1388,-19760] 2
51136p (2 curves)	0	2- 17- 47-	2-  2  0 -2  4  2 17- -4
Curve Equation t 51136p1 [0,-1,0,-68,-190] 2 51136p2 [0,-1,0,-153,473] 2
51136q (2 curves)	0	2- 17- 47-	2-  2  2 -2  2  6 17- -4
Curve Equation t 51136q1 [0,-1,0,1308,-87430] 2 51136q2 [0,-1,0,-23257,-1271463] 2
51136r (2 curves)	0	2- 17- 47-	2-  2 -4  2  0 -2 17-  4
Curve Equation t 51136r1 [0,-1,0,-1025,-11359] 2 51136r2 [0,-1,0,-16065,-778399] 2

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