Cremona's table of elliptic curves

86247 = 3² · 7 · 37²

Class	r	Atkin-Lehner	Eigenvalues
86247a (1 curve)	0	3+ 7- 37+	2 3+  2 7-  2  4  3  0
Curve Equation t 86247a1 [0,0,1,-151959,21084311] 1
86247b (1 curve)	0	3+ 7- 37+	2 3+  2 7- -2 -4  3  0
Curve Equation t 86247b1 [0,0,1,-999,-11239] 1
86247c (1 curve)	2	3+ 7- 37+	-2 3+ -2 7-  2 -4 -3  0
Curve Equation t Generators 86247c1 [0,0,1,-111,416] 1 [3:10:1]&[-11:17:1]
86247d (1 curve)	0	3+ 7- 37+	-2 3+ -2 7- -2  4 -3  0
Curve Equation t 86247d1 [0,0,1,-1367631,-569276404] 1
86247e (4 curves)	0	3- 7+ 37+	1 3- -2 7+  0  2  2  4
Curve Equation t 86247e1 [1,-1,0,-16159248,25006327371] 2 86247e2 [1,-1,0,-16220853,24806098800] 4 86247e3 [1,-1,0,-1250838,68808960891] 2 86247e4 [1,-1,0,-32176548,-32012131095] 2
86247f (4 curves)	2	3- 7+ 37+	1 3- -2 7+ -4 -2  2 -4
Curve Equation t Generators 86247f1 [1,-1,0,-203553,-35249504] 2 [90740:3170411:64]&[15996:186394:27] 86247f2 [1,-1,0,-265158,-12098345] 4 [-3770:24565:8]&[962:24467:1] 86247f3 [1,-1,0,1028547,-96189170] 2 [842:36542:1]&[45140:1980695:64] 86247f4 [1,-1,0,-2544543,1552927396] 2 [27840:-148082:27]&[-160:44306:1]
86247g (6 curves)	2	3- 7+ 37+	-1 3- -2 7+ -4  2 -6 -4
Curve Equation t Generators 86247g1 [1,-1,1,12064,109370] 2 [28:670:1]&[4320:91877:125] 86247g2 [1,-1,1,-49541,922556] 4 [-150:2302:1]&[-123:2329:1] 86247g3 [1,-1,1,-480776,-127412980] 2 [-416:892:1]&[7550:124907:8] 86247g4 [1,-1,1,-603986,180562736] 4 [-564:18763:1]&[192:8368:1] 86247g5 [1,-1,1,-419171,293004182] 2 [-527:19429:1]&[-120:18541:1] 86247g6 [1,-1,1,-9659921,11558439470] 2 [1804:-218:1]&[435:86029:1]
86247h (1 curve)	0	3- 7+ 37+	-2 3-  1 7+ -1  1  2 -4
Curve Equation t 86247h1 [0,0,1,-31196160057,-2121016599078692] 1
86247i (1 curve)	0	3- 7+ 37+	-2 3-  1 7+  3  5  2  4
Curve Equation t 86247i1 [0,0,1,-4107,-3178476] 1
86247j (1 curve)	1	3- 7+ 37-	0 3-  3 7+ -3 -3  6  0
Curve Equation t Generators 86247j1 [0,0,1,-607836,-329383796] 1 [1917140731056190:2157118255979077:1969577230375]
86247k (1 curve)	1	3- 7+ 37-	0 3- -3 7+ -3  3 -6  0
Curve Equation t Generators 86247k1 [0,0,1,-444,-6503] 1 [37:166:1]
86247l (1 curve)	1	3- 7- 37+	0 3- -1 7-  1  5 -2  4
Curve Equation t Generators 86247l1 [0,0,1,106782,-466805385] 1 [2405:117049:1]
86247m (1 curve)	1	3- 7- 37+	0 3-  2 7-  4 -4  7  4
Curve Equation t Generators 86247m1 [0,0,1,-444,3006] 1 [38:202:1]
86247n (1 curve)	1	3- 7- 37+	0 3- -2 7-  4  4 -7 -4
Curve Equation t Generators 86247n1 [0,0,1,-607836,152275581] 1 [1973:81445:1]
86247o (1 curve)	1	3- 7- 37+	0 3-  3 7-  1  1 -2 -4
Curve Equation t Generators 86247o1 [0,0,1,-2086356,1159966363] 1 [1094423:818681:1331]
86247p (2 curves)	1	3- 7- 37+	1 3-  4 7- -4 -4  0  6
Curve Equation t Generators 86247p1 [1,-1,0,-63915,45532448] 2 [6320:811052:125] 86247p2 [1,-1,0,-2343300,1374413903] 2 [-86:39733:1]
86247q (4 curves)	1	3- 7- 37+	-1 3- -2 7-  0 -2 -6 -4
Curve Equation t Generators 86247q1 [1,-1,1,-172751,-43747914] 4 [2910:153752:1] 86247q2 [1,-1,1,-3191396,-2193023154] 4 [-1024:1173:1] 86247q3 [1,-1,1,-3622631,-1561867608] 2 [3083:127167:1] 86247q4 [1,-1,1,-51058481,-140414017800] 2 [12645:1105305:1]

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