Cremona's table of elliptic curves

116725 = 5² · 7 · 23 · 29

Class	r	Atkin-Lehner	Eigenvalues
116725a (1 curve)	1	5+ 7+ 23+ 29+	2 -2 5+ 7+ -4 -1  5 -7
Curve Equation t Generators 116725a1 [0,1,1,-65808,-6519831] 1 [1262554:501569071:8]
116725b (4 curves)	2	5+ 7+ 23+ 29-	1  0 5+ 7+ -4 -2 -2  4
Curve Equation t Generators 116725b1 [1,-1,0,-12167,519616] 2 [-116:658:1]&[422:989:8] 116725b2 [1,-1,0,-12292,508491] 4 [-26:913:1]&[142:4279:8] 116725b3 [1,-1,0,5833,1867866] 2 [-46:1248:1]&[1236:89607:64] 116725b4 [1,-1,0,-32417,-1564384] 2 [-140:534:1]&[-530:4567:8]
116725c (1 curve)	0	5+ 7+ 23- 29+	1  1 5+ 7+  3  7  6  0
Curve Equation t 116725c1 [1,0,1,-11301,462873] 1
116725d (2 curves)	1	5+ 7+ 23- 29-	0 -1 5+ 7+ -6  4 -3  8
Curve Equation t Generators 116725d1 [0,-1,1,-1105293,447633093] 1 [4874:-671:8] 116725d2 [0,-1,1,-912443,608570478] 1 [-6326:231169:8]
116725e (2 curves)	1	5+ 7+ 23- 29-	1 -2 5+ 7+ -2  2 -2  8
Curve Equation t Generators 116725e1 [1,0,1,-44601,-3628777] 2 [277:2161:1] 116725e2 [1,0,1,-48226,-3005277] 2 [447:7826:1]
116725f (2 curves)	0	5+ 7- 23+ 29+	1  0 5+ 7-  2  6 -4  2
Curve Equation t 116725f1 [1,-1,0,-170911567,860305506216] 2 116725f2 [1,-1,0,-2734805192,55048197270591] 2
116725g (2 curves)	2	5+ 7- 23+ 29+	-1  0 5+ 7- -2 -2  0 -2
Curve Equation t Generators 116725g1 [1,-1,1,345,5222] 2 [5:81:1]&[14:105:1] 116725g2 [1,-1,1,-3280,63222] 2 [-56:290:1]&[-21:360:1]
116725h (1 curve)	0	5+ 7- 23+ 29+	2  1 5+ 7-  0  0 -3  4
Curve Equation t 116725h1 [0,1,1,-138,-881] 1
116725i (4 curves)	0	5+ 7- 23- 29-	1  0 5+ 7-  0  2  6  4
Curve Equation t 116725i1 [1,-1,0,-59417,5353616] 2 116725i2 [1,-1,0,-164542,-18720009] 4 116725i3 [1,-1,0,419083,-122021634] 2 116725i4 [1,-1,0,-2430167,-1457391884] 2
116725j (2 curves)	0	5+ 7- 23- 29-	1 -2 5+ 7- -2 -6  2  0
Curve Equation t 116725j1 [1,0,1,-255651,-17641927] 2 116725j2 [1,0,1,-3304276,-2310207927] 2
116725k (2 curves)	0	5+ 7- 23- 29-	1 -2 5+ 7-  6  6  6  4
Curve Equation t 116725k1 [1,0,1,-10151,69573] 2 116725k2 [1,0,1,-100776,-12255427] 2
116725l (2 curves)	0	5+ 7- 23- 29-	-1  2 5+ 7-  6  2  6  4
Curve Equation t 116725l1 [1,1,1,-5033588,4344652156] 2 116725l2 [1,1,1,-5037213,4338076406] 2
116725m (1 curve)	0	5+ 7- 23- 29-	2 -1 5+ 7- -6 -4  3  4
Curve Equation t 116725m1 [0,-1,1,1042,47193] 1
116725n (1 curve)	1	5- 7+ 23+ 29-	-2  1 5- 7+ -6  4 -3  4
Curve Equation t Generators 116725n1 [0,1,1,42,394] 1 [13:57:1]
116725o (1 curve)	1	5- 7+ 23- 29+	-2 -1 5- 7+  0  0  3  4
Curve Equation t Generators 116725o1 [0,-1,1,-3458,-103182] 1 [198:2633:1]
116725p (2 curves)	0	5- 7- 23+ 29-	0  1 5- 7- -6 -4  3  8
Curve Equation t 116725p1 [0,1,1,-27632333,55898871994] 3 116725p2 [0,1,1,-22811083,76025687619] 1

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