Cremona's table of elliptic curves

69384 = 2³ · 3 · 7² · 59

Class	r	Atkin-Lehner	Eigenvalues
69384a (1 curve)	1	2+ 3+ 7+ 59+	2+ 3+ -1 7+  6  0  7 -5
Curve Equation t Generators 69384a1 [0,-1,0,11744,778492] 1 [82:1512:1]
69384b (1 curve)	0	2+ 3+ 7+ 59-	2+ 3+  3 7+  4  6 -3 -1
Curve Equation t 69384b1 [0,-1,0,1601,-286964] 1
69384c (1 curve)	0	2+ 3+ 7- 59+	2+ 3+ -3 7-  0 -2  3  5
Curve Equation t 69384c1 [0,-1,0,-17607,2210076] 1
69384d (1 curve)	1	2+ 3+ 7- 59-	2+ 3+  1 7-  4  4 -3 -1
Curve Equation t Generators 69384d1 [0,-1,0,-800,596604] 1 [-70:552:1]
69384e (4 curves)	1	2+ 3+ 7- 59-	2+ 3+  2 7-  4  2 -2 -4
Curve Equation t Generators 69384e1 [0,-1,0,35313,-425340] 2 [94995:1840195:729] 69384e2 [0,-1,0,-143292,-3283020] 4 [-1018773770:-8164192968:3048625] 69384e3 [0,-1,0,-1439832,662101308] 2 [-156470:2799196:125] 69384e4 [0,-1,0,-1704432,-854416548] 2 [-38234109508817530:-54134655723521577:49958012987000]
69384f (4 curves)	1	2+ 3+ 7- 59-	2+ 3+ -2 7-  4 -2 -6 -4
Curve Equation t Generators 69384f1 [0,-1,0,-84639,-97236] 4 [9875:980833:1] 69384f2 [0,-1,0,-937484,-348057996] 4 [-574923714:-773556965:1061208] 69384f3 [0,-1,0,-532744,-650965412] 2 [531353968051206:52664335014341105:53753368824] 69384f4 [0,-1,0,-14987744,-22328284740] 2 [-375519381194563530:2455974748507015:168032121488568]
69384g (2 curves)	1	2+ 3+ 7- 59-	2+ 3+ -2 7- -4  2  0  4
Curve Equation t Generators 69384g1 [0,-1,0,-25104,-1515492] 2 [761:20482:1] 69384g2 [0,-1,0,-11384,-3178356] 2 [1008579:27365814:1331]
69384h (1 curve)	0	2+ 3- 7+ 59+	2+ 3- -1 7+  4 -4  3  1
Curve Equation t 69384h1 [0,1,0,-16,-1744] 1
69384i (1 curve)	1	2+ 3- 7+ 59-	2+ 3-  3 7+  0  2 -3 -5
Curve Equation t Generators 69384i1 [0,1,0,-359,-6546] 1 [25:27:1]
69384j (2 curves)	1	2+ 3- 7- 59+	2+ 3-  0 7-  4  0 -6  4
Curve Equation t Generators 69384j1 [0,1,0,-170396928,-856179037008] 2 [127731:45402126:1] 69384j2 [0,1,0,-165690968,-905693265744] 2 [343018111105:121939086211866:2685619]
69384k (4 curves)	1	2+ 3- 7- 59+	2+ 3-  2 7-  0 -2  6 -4
Curve Equation t Generators 69384k1 [0,1,0,-60727,5739782] 4 [61988:1873005:64] 69384k2 [0,1,0,-60972,5690880] 4 [3831:236670:1] 69384k3 [0,1,0,-3152,16098480] 2 [268:5880:1] 69384k4 [0,1,0,-122712,-7842528] 2 [479295:29556702:125]
69384l (4 curves)	1	2+ 3- 7- 59+	2+ 3-  2 7- -4  2  2 -4
Curve Equation t Generators 69384l1 [0,1,0,-6092,60192] 2 [20484:2931768:1] 69384l2 [0,1,0,-54112,-4818640] 4 [403195833:57704659390:19683] 69384l3 [0,1,0,-12952,-11931088] 2 [132678623018684972758:-634255626578589210915:519435385203079864] 69384l4 [0,1,0,-863592,-309183120] 2 [1232219339468452179:176214261004026881930:60130322038233]
69384m (2 curves)	1	2+ 3- 7- 59+	2+ 3- -2 7- -2  4 -2  0
Curve Equation t Generators 69384m1 [0,1,0,-150299,-22474614] 2 [625:11319:1] 69384m2 [0,1,0,-135844,-26955664] 2 [2984:161700:1]
69384n (1 curve)	1	2+ 3- 7- 59+	2+ 3- -3 7-  4 -6  3  1
Curve Equation t Generators 69384n1 [0,1,0,33,846] 1 [-3:27:1]
69384o (2 curves)	1	2+ 3- 7- 59+	2+ 3-  4 7-  4 -4 -2  4
Curve Equation t Generators 69384o1 [0,1,0,-19616,-233808] 2 [8563:792330:1] 69384o2 [0,1,0,76424,-1770448] 2 [342254:9036735:10648]
69384p (1 curve)	0	2+ 3- 7- 59-	2+ 3-  1 7-  6  0 -7  5
Curve Equation t 69384p1 [0,1,0,575440,-268173648] 1
69384q (1 curve)	2	2- 3+ 7+ 59+	2- 3+  1 7+  0 -4 -5 -5
Curve Equation t Generators 69384q1 [0,-1,0,-2515,50548] 1 [33:49:1]&[13:141:1]
69384r (1 curve)	0	2- 3+ 7+ 59+	2- 3+  3 7+  2  0  3 -1
Curve Equation t 69384r1 [0,-1,0,-30984,2111292] 1
69384s (1 curve)	0	2- 3+ 7+ 59+	2- 3+ -3 7+  2  6  3  5
Curve Equation t 69384s1 [0,-1,0,-607567,-182242976] 1
69384t (1 curve)	2	2- 3+ 7+ 59+	2- 3+ -3 7+ -2 -2  3  1
Curve Equation t Generators 69384t1 [0,-1,0,33,-216] 1 [5:7:1]&[9:27:1]
69384u (1 curve)	1	2- 3+ 7- 59+	2- 3+  3 7- -4  0  1  7
Curve Equation t Generators 69384u1 [0,-1,0,-106444,-13598108] 1 [1014:30332:1]
69384v (1 curve)	0	2- 3+ 7- 59-	2- 3+  1 7-  0  0  1 -1
Curve Equation t 69384v1 [0,-1,0,-19560,-1061892] 1
69384w (2 curves)	0	2- 3+ 7- 59-	2- 3+ -2 7-  6  0 -2  8
Curve Equation t 69384w1 [0,-1,0,621,-9036] 2 69384w2 [0,-1,0,-4524,-91356] 2
69384x (1 curve)	1	2- 3- 7+ 59+	2- 3- -1 7+  0  0 -1  1
Curve Equation t Generators 69384x1 [0,1,0,-958456,366145856] 1 [800:10584:1]
69384y (1 curve)	2	2- 3- 7+ 59-	2- 3- -3 7+ -4  0 -1 -7
Curve Equation t Generators 69384y1 [0,1,0,-2172,39024] 1 [30:-42:1]&[-40:252:1]
69384z (2 curves)	0	2- 3- 7- 59+	2- 3-  0 7-  4  0 -8  4
Curve Equation t 69384z1 [0,1,0,-3348,-71520] 2 69384z2 [0,1,0,-10208,307152] 2
69384ba (1 curve)	0	2- 3- 7- 59+	2- 3-  1 7-  0  2  6  6
Curve Equation t 69384ba1 [0,1,0,-32160,3616416] 1
69384bb (2 curves)	1	2- 3- 7- 59-	2- 3-  0 7-  4 -4  6 -4
Curve Equation t Generators 69384bb1 [0,1,0,-227768,-41800704] 2 [919:22932:1] 69384bb2 [0,1,0,-131728,-77220256] 2 [153380:7402317:64]
69384bc (1 curve)	1	2- 3- 7- 59-	2- 3- -1 7-  0  4  5  5
Curve Equation t Generators 69384bc1 [0,1,0,-51,-162] 1 [11:27:1]
69384bd (1 curve)	1	2- 3- 7- 59-	2- 3-  3 7-  2 -6 -3 -5
Curve Equation t Generators 69384bd1 [0,1,0,-12399,527778] 1 [111:729:1]
69384be (1 curve)	1	2- 3- 7- 59-	2- 3-  3 7- -2  2 -3 -1
Curve Equation t Generators 69384be1 [0,1,0,1601,70874] 1 [55:573:1]
69384bf (1 curve)	1	2- 3- 7- 59-	2- 3- -3 7-  2  0 -3  1
Curve Equation t Generators 69384bf1 [0,1,0,-632,-6336] 1 [88:792:1]

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