Cremona's table of elliptic curves

129591 = 3² · 7 · 11² · 17

Class	r	Atkin-Lehner	Eigenvalues
129591a (2 curves)	1	3+ 7+ 11+ 17+	1 3+ -4 7+ 11+  0 17+  8
Curve Equation t Generators 129591a1 [1,-1,0,-4293339,-3422983096] 2 [14949836:1547732750:1331] 129591a2 [1,-1,0,-4291854,-3425470471] 2 [196504053453620:20343835002184717:17495004736]
129591b (2 curves)	0	3+ 7+ 11+ 17-	-1 3+  4 7+ 11+  0 17-  8
Curve Equation t 129591b1 [1,-1,1,-477038,126936164] 2 129591b2 [1,-1,1,-476873,127028234] 2
129591c (2 curves)	0	3+ 7- 11+ 17+	1 3+  4 7- 11+  0 17+ -8
Curve Equation t 129591c1 [1,-1,0,-57721560,-168778869957] 2 129591c2 [1,-1,0,-57701595,-168901475022] 2
129591d (2 curves)	1	3+ 7- 11+ 17-	-1 3+ -4 7- 11+  0 17- -8
Curve Equation t Generators 129591d1 [1,-1,1,-519494042,4557548982880] 2 [-22778:2149640:1] 129591d2 [1,-1,1,-519314357,4560859139950] 2 [13042:-85240:1]
129591e (2 curves)	1	3+ 7- 11- 17+	1 3+ -2 7- 11- -4 17+  4
Curve Equation t Generators 129591e1 [1,-1,0,-1166523,142753760] 2 [838:36849:8] 129591e2 [1,-1,0,4436382,1112056325] 2 [466534:112502433:8]
129591f (2 curves)	0	3+ 7- 11- 17-	-1 3+  2 7- 11- -4 17-  4
Curve Equation t 129591f1 [1,-1,1,-129614,-5243972] 2 129591f2 [1,-1,1,492931,-41351582] 2
129591g (1 curve)	1	3- 7+ 11+ 17-	-1 3-  1 7+ 11+ -3 17- -4
Curve Equation t Generators 129591g1 [1,-1,1,-2919632,1931172752] 1 [1180:10723:1]
129591h (2 curves)	1	3- 7+ 11+ 17-	-1 3- -2 7+ 11+  6 17-  2
Curve Equation t Generators 129591h1 [1,-1,1,-716,2126] 2 [-18:103:1] 129591h2 [1,-1,1,2749,14600] 2 [15:235:1]
129591i (1 curve)	1	3- 7+ 11- 17+	1 3-  0 7+ 11-  2 17+  5
Curve Equation t Generators 129591i1 [1,-1,0,2237328,1277284729] 1 [-207026867615047006192:733566939747236603095229:20704831811172371953]
129591j (2 curves)	1	3- 7+ 11- 17+	-1 3-  0 7+ 11-  2 17+ -6
Curve Equation t Generators 129591j1 [1,-1,1,-30515,-1669390] 2 [-74:460:1] 129591j2 [1,-1,1,62050,-9889162] 2 [201:3166:1]
129591k (1 curve)	1	3- 7+ 11- 17+	-1 3-  0 7+ 11-  6 17+  5
Curve Equation t Generators 129591k1 [1,-1,1,-667580,-425053956] 1 [5943476250953374:136754924565250641:4535551944377]
129591l (1 curve)	1	3- 7+ 11- 17+	-2 3-  3 7+ 11- -1 17+  7
Curve Equation t Generators 129591l1 [0,0,1,-46101,4467834] 1 [137:850:1]
129591m (1 curve)	0	3- 7+ 11- 17-	0 3- -1 7+ 11-  5 17-  5
Curve Equation t 129591m1 [0,0,1,-5808,-628565] 1
129591n (1 curve)	0	3- 7+ 11- 17-	1 3-  3 7+ 11- -1 17- -4
Curve Equation t 129591n1 [1,-1,0,27747,-9411242] 1
129591o (1 curve)	0	3- 7+ 11- 17-	-1 3-  1 7+ 11- -1 17-  0
Curve Equation t 129591o1 [1,-1,1,-850532,-301744308] 1
129591p (4 curves)	0	3- 7+ 11- 17-	-1 3- -2 7+ 11-  2 17-  0
Curve Equation t 129591p1 [1,-1,1,-145710401,677027876352] 4 129591p2 [1,-1,1,-147284006,661658161596] 4 129591p3 [1,-1,1,74964559,2483296299762] 2 129591p4 [1,-1,1,-394710251,-2143660604214] 2
129591q (1 curve)	1	3- 7- 11+ 17+	1 3-  1 7- 11+  3 17+  4
Curve Equation t Generators 129591q1 [1,-1,0,-24129,-1444338] 1 [59447934:593640874:250047]
129591r (2 curves)	1	3- 7- 11+ 17+	1 3- -2 7- 11+ -6 17+ -2
Curve Equation t Generators 129591r1 [1,-1,0,-86598,-2570265] 2 [-282:5433:8] 129591r2 [1,-1,0,332667,-20430954] 2 [127494:16041321:8]
129591s (2 curves)	0	3- 7- 11- 17+	-1 3-  0 7- 11- -6 17+ -2
Curve Equation t 129591s1 [1,-1,1,-240688625,1437307337040] 2 129591s2 [1,-1,1,-240596060,1438468028088] 2
129591t (1 curve)	0	3- 7- 11- 17+	2 3- -1 7- 11- -1 17+ -1
Curve Equation t 129591t1 [0,0,1,21417,-838863] 1
129591u (1 curve)	1	3- 7- 11- 17-	0 3- -1 7- 11- -3 17- -3
Curve Equation t Generators 129591u1 [0,0,1,3881922,2663021875] 1 [565:70969:1]
129591v (1 curve)	1	3- 7- 11- 17-	1 3-  0 7- 11- -6 17- -5
Curve Equation t Generators 129591v1 [1,-1,0,-5517,320854] 1 [26:-454:1]
129591w (1 curve)	1	3- 7- 11- 17-	-1 3-  0 7- 11- -2 17- -5
Curve Equation t Generators 129591w1 [1,-1,1,18490,-964686] 1 [122:1698:1]
129591x (1 curve)	1	3- 7- 11- 17-	-1 3- -1 7- 11- -1 17-  4
Curve Equation t Generators 129591x1 [1,-1,1,-154298,23859190] 1 [14:-4666:1]
129591y (1 curve)	1	3- 7- 11- 17-	2 3- -1 7- 11-  2 17- -8
Curve Equation t Generators 129591y1 [0,0,1,-443176173,-3590977799203] 1 [79539115436187086040350:6396990714815309358285273:2901481848354681656]
129591z (1 curve)	1	3- 7- 11- 17-	-2 3-  3 7- 11-  6 17-  4
Curve Equation t Generators 129591z1 [0,0,1,-24321,1611508] 1 [143:1028:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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