Cremona's table of elliptic curves

51714 = 2 · 3² · 13² · 17

Class	r	Atkin-Lehner	Eigenvalues
51714a (2 curves)	0	2+ 3- 13+ 17+	2+ 3-  0  2 -2 13+ 17+  4
Curve Equation t 51714a1 [1,-1,0,-31212,-1057536] 2 51714a2 [1,-1,0,-426672,-107119908] 2
51714b (1 curve)	0	2+ 3- 13+ 17+	2+ 3- -1 -2 -1 13+ 17+  4
Curve Equation t 51714b1 [1,-1,0,-12960,-674816] 1
51714c (2 curves)	0	2+ 3- 13+ 17+	2+ 3-  2 -2  2 13+ 17+  4
Curve Equation t 51714c1 [1,-1,0,-82926,8880340] 2 51714c2 [1,-1,0,38754,32656612] 2
51714d (4 curves)	2	2+ 3- 13+ 17+	2+ 3- -2  0  0 13+ 17+  0
Curve Equation t Generators 51714d1 [1,-1,0,12897,-1035059] 2 [75:554:1]&[78:625:1] 51714d2 [1,-1,0,-108783,-11523875] 4 [-238:1037:1]&[-214:1493:1] 51714d3 [1,-1,0,-504243,127124401] 2 [-640:14009:1]&[-986:110005:8] 51714d4 [1,-1,0,-1660203,-822916535] 2 [-745:530:1]&[-744:541:1]
51714e (1 curve)	0	2+ 3- 13+ 17+	2+ 3- -3 -2  5 13+ 17+  4
Curve Equation t 51714e1 [1,-1,0,-2417661,1447796533] 1
51714f (4 curves)	1	2+ 3- 13+ 17-	2+ 3-  0 -2  0 13+ 17-  4
Curve Equation t Generators 51714f1 [1,-1,0,-388647,-93125187] 2 [9123:864690:1] 51714f2 [1,-1,0,-327807,-123313995] 2 [6649731:630445330:729] 51714f3 [1,-1,0,-1141542,355203252] 2 [1401:38085:1] 51714f4 [1,-1,0,2752218,2249906868] 2 [2403:149580:1]
51714g (2 curves)	1	2+ 3- 13+ 17-	2+ 3-  0 -2 -4 13+ 17- -4
Curve Equation t Generators 51714g1 [1,-1,0,-29067102,58309856788] 2 [4044212:1011008003:64] 51714g2 [1,-1,0,12060738,210063360820] 2 [1384182828:347556680197:21952]
51714h (2 curves)	1	2+ 3- 13+ 17-	2+ 3- -3 -2  3 13+ 17-  4
Curve Equation t Generators 51714h1 [1,-1,0,144,-324] 1 [6:24:1] 51714h2 [1,-1,0,-1611,30213] 1 [78:573:1]
51714i (1 curve)	1	2+ 3- 13+ 17-	2+ 3-  4  1 -4 13+ 17-  6
Curve Equation t Generators 51714i1 [1,-1,0,-38310,2896388] 1 [104:118:1]
51714j (1 curve)	1	2+ 3- 13+ 17-	2+ 3- -4 -1 -4 13+ 17-  2
Curve Equation t Generators 51714j1 [1,-1,0,34191,254749] 1 [66:1639:1]
51714k (2 curves)	1	2+ 3- 13+ 17-	2+ 3- -4  2  0 13+ 17- -4
Curve Equation t Generators 51714k1 [1,-1,0,-3834,-57056] 2 [-42:190:1] 51714k2 [1,-1,0,11376,-406886] 2 [75:892:1]
51714l (2 curves)	1	2+ 3- 13- 17+	2+ 3-  2 -2  4 13- 17+  2
Curve Equation t Generators 51714l1 [1,-1,0,901629,-721631403] 2 [19924414302:-3147983706031:804357] 51714l2 [1,-1,0,-8683011,-8525445291] 2 [-36027270:-409028733:29791]
51714m (2 curves)	1	2+ 3- 13- 17+	2+ 3-  4  0  2 13- 17+ -2
Curve Equation t Generators 51714m1 [1,-1,0,-8865,-461187] 2 [8596:51407:64] 51714m2 [1,-1,0,-158625,-24273027] 2 [6354:502263:1]
51714n (2 curves)	1	2- 3- 13+ 17+	2- 3-  0  2 -2 13+ 17+  8
Curve Equation t Generators 51714n1 [1,-1,1,-1730930,-802114959] 2 [-601:4863:1] 51714n2 [1,-1,1,-27040370,-54113919375] 2 [-81123:23141:27]
51714o (1 curve)	1	2- 3- 13+ 17+	2- 3-  1  2  1 13+ 17+ -4
Curve Equation t Generators 51714o1 [1,-1,1,-2190272,-1489141533] 1 [3101:145185:1]
51714p (6 curves)	1	2- 3- 13+ 17+	2- 3- -2  0 -4 13+ 17+ -4
Curve Equation t Generators 51714p1 [1,-1,1,-51746,-4188895] 2 [-107:391:1] 51714p2 [1,-1,1,-173426,22970081] 4 [-2754:53087:8] 51714p3 [1,-1,1,343714,133431185] 2 [-1090:73887:8] 51714p4 [1,-1,1,-2637446,1649223281] 4 [28350:1520411:8] 51714p5 [1,-1,1,-2500556,1827946865] 2 [5805264762:313535064433:1643032] 51714p6 [1,-1,1,-42198656,105521136257] 2 [5003910:137631631:1000]
51714q (1 curve)	1	2- 3- 13+ 17+	2- 3-  3  2 -5 13+ 17+ -4
Curve Equation t Generators 51714q1 [1,-1,1,-14306,662289] 1 [71:-9:1]
51714r (2 curves)	1	2- 3- 13+ 17+	2- 3- -4  2 -2 13+ 17+  0
Curve Equation t Generators 51714r1 [1,-1,1,-261137,30178945] 2 [-497:6332:1] 51714r2 [1,-1,1,-1842977,-941070815] 2 [-835:4304:1]
51714s (4 curves)	0	2- 3- 13+ 17-	2- 3-  0  4  6 13+ 17-  4
Curve Equation t 51714s1 [1,-1,1,-4595,-73069] 2 51714s2 [1,-1,1,-65435,-6424765] 2 51714s3 [1,-1,1,-156695,23910059] 2 51714s4 [1,-1,1,-171905,19000271] 2
51714t (2 curves)	0	2- 3- 13+ 17-	2- 3-  2 -4 -2 13+ 17-  0
Curve Equation t 51714t1 [1,-1,1,-142499,-20004929] 2 51714t2 [1,-1,1,55231,-71335637] 2
51714u (2 curves)	0	2- 3- 13+ 17-	2- 3- -2 -2  4 13+ 17-  4
Curve Equation t 51714u1 [1,-1,1,-13721,541077] 2 51714u2 [1,-1,1,-211451,37477041] 2
51714v (2 curves)	0	2- 3- 13+ 17-	2- 3- -2  4 -2 13+ 17-  0
Curve Equation t 51714v1 [1,-1,1,-2690681,609260825] 2 51714v2 [1,-1,1,9964039,4694204441] 2
51714w (2 curves)	0	2- 3- 13+ 17-	2- 3-  3  2 -3 13+ 17- -4
Curve Equation t 51714w1 [1,-1,1,24304,-638881] 1 51714w2 [1,-1,1,-272291,65561123] 3
51714x (1 curve)	0	2- 3- 13+ 17-	2- 3-  4  1  4 13+ 17- -2
Curve Equation t 51714x1 [1,-1,1,202,69] 1
51714y (2 curves)	0	2- 3- 13+ 17-	2- 3-  4  4 -2 13+ 17-  4
Curve Equation t 51714y1 [1,-1,1,-220470503,-449614782561] 2 51714y2 [1,-1,1,-2852652263,-58594509860961] 2
51714z (1 curve)	0	2- 3- 13+ 17-	2- 3- -4 -1  4 13+ 17- -6
Curve Equation t 51714z1 [1,-1,1,-6474422,6343941205] 1
51714ba (2 curves)	0	2- 3- 13- 17+	2- 3- -2  2 -4 13- 17+ -2
Curve Equation t 51714ba1 [1,-1,1,152375269,-1584967066549] 2 51714ba2 [1,-1,1,-1467428891,-18734805590965] 2
51714bb (2 curves)	0	2- 3- 13- 17+	2- 3- -4  0 -2 13- 17+  2
Curve Equation t 51714bb1 [1,-1,1,-1498217,-1017722455] 2 51714bb2 [1,-1,1,-26807657,-53408263255] 2

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