Cremona's table of elliptic curves

117334 = 2 · 7 · 17² · 29

Class	r	Atkin-Lehner	Eigenvalues
117334a (2 curves)	1	2+ 7+ 17+ 29+	2+ -1  3 7+  3 -1 17+ -4
Curve Equation t Generators 117334a1 [1,1,0,-4196,1037152] 1 [-67:1045:1] 117334a2 [1,1,0,37709,-27785107] 1 [60788:1853019:64]
117334b (2 curves)	1	2+ 7+ 17+ 29+	2+  2 -4 7+ -4  4 17+  6
Curve Equation t Generators 117334b1 [1,1,0,-149852,-28668580] 2 [53941767944640:13292181439599157:884736000] 117334b2 [1,1,0,-2580342,-1596334630] 2 [1951030:962504245:8]
117334c (1 curve)	0	2+ 7+ 17+ 29-	2+  2  0 7+  2 -2 17+  8
Curve Equation t 117334c1 [1,1,0,1125,4079] 1
117334d (2 curves)	0	2+ 7+ 17+ 29-	2+ -2 -2 7+ -4 -2 17+  2
Curve Equation t 117334d1 [1,0,1,-613987,-293390946] 2 117334d2 [1,0,1,-11341667,-14698519650] 2
117334e (1 curve)	0	2+ 7+ 17- 29+	2+  1  3 7+  2  1 17- -8
Curve Equation t 117334e1 [1,0,1,-348107,81859948] 1
117334f (1 curve)	0	2+ 7+ 17- 29+	2+ -2  4 7+  2  2 17-  4
Curve Equation t 117334f1 [1,0,1,27538081,-47499650886] 1
117334g (2 curves)	1	2+ 7- 17+ 29-	2+  0  0 7-  4  0 17+  4
Curve Equation t Generators 117334g1 [1,-1,0,-87332,10754128] 2 [168:812:1] 117334g2 [1,-1,0,-1428292,657365040] 2 [-10674:114579:8]
117334h (1 curve)	1	2+ 7- 17+ 29-	2+  0 -3 7- -3  0 17+ -7
Curve Equation t Generators 117334h1 [1,-1,0,5433724,-3463016624] 1 [36408:2127332:27]
117334i (1 curve)	1	2+ 7- 17+ 29-	2+ -1 -3 7- -2  1 17+ -8
Curve Equation t Generators 117334i1 [1,1,0,-1204,16166] 1 [5:99:1]
117334j (1 curve)	1	2+ 7- 17+ 29-	2+  2 -4 7- -2  2 17+  4
Curve Equation t Generators 117334j1 [1,1,0,95288,-9628920] 1 [4359:83182:27]
117334k (1 curve)	1	2+ 7- 17- 29+	2+ -2  0 7- -2 -2 17-  8
Curve Equation t Generators 117334k1 [1,0,1,324974,17764950] 1 [24:5045:1]
117334l (1 curve)	0	2- 7+ 17+ 29+	2- -2 -3 7+  5  0 17+  7
Curve Equation t 117334l1 [1,0,0,-438997,-113005599] 1
117334m (1 curve)	1	2- 7+ 17+ 29-	2-  0 -1 7+ -3 -4 17+ -1
Curve Equation t Generators 117334m1 [1,-1,1,-79963,-8685385] 1 [12695:1423624:1]
117334n (2 curves)	1	2- 7+ 17+ 29-	2- -1  3 7+  3  5 17+ -4
Curve Equation t Generators 117334n1 [1,1,1,-382064,-361981167] 1 [903:5057:1] 117334n2 [1,1,1,-52165084,-145039061871] 1 [115159006353:-5899594101589:12008989]
117334o (1 curve)	1	2- 7- 17+ 29+	2-  1  3 7-  1 -1 17+ -4
Curve Equation t Generators 117334o1 [1,0,0,-29484,1951376] 1 [160:1076:1]
117334p (1 curve)	0	2- 7- 17+ 29-	2-  2  3 7- -5  0 17+  7
Curve Equation t 117334p1 [1,1,1,-1519,-23627] 1
117334q (1 curve)	0	2- 7- 17+ 29-	2-  3  3 7-  3 -3 17+ -4
Curve Equation t 117334q1 [1,-1,1,-132561,79783873] 1

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