Cremona's table of elliptic curves

83232 = 2⁵ · 3² · 17²

Class	r	Atkin-Lehner	Eigenvalues
83232a (2 curves)	1	2+ 3+ 17+	2+ 3+  2  0  0  6 17+  0
Curve Equation t Generators 83232a1 [0,0,0,51,0] 2 [25:130:1] 83232a2 [0,0,0,-204,0] 2 [-2:20:1]
83232b (2 curves)	1	2+ 3+ 17+	2+ 3+ -2  0  0  6 17+  0
Curve Equation t Generators 83232b1 [0,0,0,14739,0] 2 [539:102830:1331] 83232b2 [0,0,0,-58956,0] 2 [-242:308:1]
83232c (2 curves)	1	2+ 3+ 17+	2+ 3+  4  0  0 -6 17+  0
Curve Equation t Generators 83232c1 [0,0,0,867,0] 2 [605:8206:125] 83232c2 [0,0,0,-3468,0] 2 [-50:220:1]
83232d (2 curves)	0	2+ 3- 17+	2+ 3-  0  2  0 -6 17+  4
Curve Equation t 83232d1 [0,0,0,-1192125,-500988436] 2 83232d2 [0,0,0,-1166115,-523892842] 2
83232e (2 curves)	0	2+ 3- 17+	2+ 3-  0 -2  4  2 17+  4
Curve Equation t 83232e1 [0,0,0,-13005,530604] 2 83232e2 [0,0,0,13005,2387718] 2
83232f (1 curve)	0	2+ 3- 17+	2+ 3-  1  2 -5 -1 17+ -5
Curve Equation t 83232f1 [0,0,0,714408,42526928] 1
83232g (1 curve)	0	2+ 3- 17+	2+ 3-  1 -2  5 -1 17+  5
Curve Equation t 83232g1 [0,0,0,714408,-42526928] 1
83232h (1 curve)	0	2+ 3- 17+	2+ 3- -1  2  5 -5 17+  7
Curve Equation t 83232h1 [0,0,0,-575688,-476914736] 1
83232i (4 curves)	0	2+ 3- 17+	2+ 3-  2  0  4 -2 17+  0
Curve Equation t 83232i1 [0,0,0,-266169,-52274320] 4 83232i2 [0,0,0,-45084,-136463488] 2 83232i3 [0,0,0,-500259,53581178] 2 83232i4 [0,0,0,-4245699,-3367222810] 2
83232j (4 curves)	0	2+ 3- 17+	2+ 3-  2  0 -4 -2 17+  0
Curve Equation t 83232j1 [0,0,0,-266169,52274320] 4 83232j2 [0,0,0,-45084,136463488] 2 83232j3 [0,0,0,-500259,-53581178] 2 83232j4 [0,0,0,-4245699,3367222810] 2
83232k (1 curve)	0	2+ 3- 17+	2+ 3-  2  3  2 -5 17+  3
Curve Equation t 83232k1 [0,0,0,51,-272] 1
83232l (1 curve)	2	2+ 3- 17+	2+ 3-  2 -3 -2 -5 17+ -3
Curve Equation t Generators 83232l1 [0,0,0,51,272] 1 [-4:2:1]&[1:18:1]
83232m (4 curves)	0	2+ 3- 17+	2+ 3-  2 -4 -4 -2 17+  4
Curve Equation t 83232m1 [0,0,0,-6069,98260] 4 83232m2 [0,0,0,19941,717298] 2 83232m3 [0,0,0,-45084,-3615968] 2 83232m4 [0,0,0,-84099,9383830] 2
83232n (4 curves)	0	2+ 3- 17+	2+ 3- -2  0  0  6 17+  0
Curve Equation t 83232n1 [0,0,0,-2601,0] 4 83232n2 [0,0,0,10404,0] 2 83232n3 [0,0,0,-28611,1857114] 2 83232n4 [0,0,0,-28611,-1857114] 2
83232o (1 curve)	0	2+ 3- 17+	2+ 3- -2  5 -2 -1 17+  1
Curve Equation t 83232o1 [0,0,0,-1753941,-897349624] 1
83232p (1 curve)	0	2+ 3- 17+	2+ 3- -2 -5  2 -1 17+ -1
Curve Equation t 83232p1 [0,0,0,-1753941,897349624] 1
83232q (1 curve)	0	2+ 3- 17+	2+ 3- -3  2  3  3 17+ -5
Curve Equation t 83232q1 [0,0,0,6936,2908496] 1
83232r (2 curves)	0	2+ 3- 17+	2+ 3-  4  0  0 -6 17+  0
Curve Equation t 83232r1 [0,0,0,-153,0] 2 83232r2 [0,0,0,612,0] 2
83232s (2 curves)	0	2+ 3- 17+	2+ 3-  4  4  2  2 17+  8
Curve Equation t 83232s1 [0,0,0,-16473,-786080] 2 83232s2 [0,0,0,-42483,2309110] 2
83232t (2 curves)	0	2+ 3- 17+	2+ 3-  4 -4 -2  2 17+ -8
Curve Equation t 83232t1 [0,0,0,-16473,786080] 2 83232t2 [0,0,0,-42483,-2309110] 2
83232u (2 curves)	0	2+ 3- 17+	2+ 3- -4  0  0 -6 17+  0
Curve Equation t 83232u1 [0,0,0,-44217,0] 2 83232u2 [0,0,0,176868,0] 2
83232v (1 curve)	1	2+ 3- 17-	2+ 3-  2  5 -2 -1 17- -1
Curve Equation t Generators 83232v1 [0,0,0,-6069,182648] 1 [49:54:1]
83232w (1 curve)	1	2+ 3- 17-	2+ 3-  2 -5  2 -1 17-  1
Curve Equation t Generators 83232w1 [0,0,0,-6069,-182648] 1 [276:4378:1]
83232x (1 curve)	1	2+ 3- 17-	2+ 3- -2  3  2 -5 17- -3
Curve Equation t Generators 83232x1 [0,0,0,14739,1336336] 1 [0:1156:1]
83232y (1 curve)	1	2+ 3- 17-	2+ 3- -2 -3 -2 -5 17-  3
Curve Equation t Generators 83232y1 [0,0,0,14739,-1336336] 1 [289:-5202:1]
83232z (2 curves)	0	2- 3+ 17+	2- 3+  2  0  0  6 17+  0
Curve Equation t 83232z1 [0,0,0,132651,0] 2 83232z2 [0,0,0,-530604,0] 2
83232ba (2 curves)	0	2- 3+ 17+	2- 3+ -2  0  0  6 17+  0
Curve Equation t 83232ba1 [0,0,0,459,0] 2 83232ba2 [0,0,0,-1836,0] 2
83232bb (2 curves)	0	2- 3+ 17+	2- 3+ -4  0  0 -6 17+  0
Curve Equation t 83232bb1 [0,0,0,7803,0] 2 83232bb2 [0,0,0,-31212,0] 2
83232bc (2 curves)	1	2- 3- 17+	2- 3-  0  2 -4  2 17+ -4
Curve Equation t Generators 83232bc1 [0,0,0,-13005,-530604] 2 [1615:64736:1] 83232bc2 [0,0,0,13005,-2387718] 2 [552874:22246064:343]
83232bd (2 curves)	1	2- 3- 17+	2- 3-  0 -2  0 -6 17+ -4
Curve Equation t Generators 83232bd1 [0,0,0,-1192125,500988436] 2 [-748:31212:1] 83232bd2 [0,0,0,-1166115,523892842] 2 [-20094:845036:27]
83232be (1 curve)	1	2- 3- 17+	2- 3- -1  2 -1 -1 17+  1
Curve Equation t Generators 83232be1 [0,0,0,-367608,-86232976] 1 [16252:2070396:1]
83232bf (1 curve)	1	2- 3- 17+	2- 3- -1 -2  1 -1 17+ -1
Curve Equation t Generators 83232bf1 [0,0,0,-367608,86232976] 1 [1088:31212:1]
83232bg (1 curve)	1	2- 3- 17+	2- 3- -1 -2 -5 -5 17+ -7
Curve Equation t Generators 83232bg1 [0,0,0,-575688,476914736] 1 [3196:176868:1]
83232bh (1 curve)	1	2- 3- 17+	2- 3- -1  4  1  2 17+ -4
Curve Equation t Generators 83232bh1 [0,0,0,357,34] 1 [50:378:1]
83232bi (1 curve)	1	2- 3- 17+	2- 3- -1 -4 -1  2 17+  4
Curve Equation t Generators 83232bi1 [0,0,0,357,-34] 1 [1:18:1]
83232bj (2 curves)	1	2- 3- 17+	2- 3-  2  2  0  2 17+  4
Curve Equation t Generators 83232bj1 [0,0,0,-162129,22717712] 2 [38664359:-2636871192:704969] 83232bj2 [0,0,0,-604299,-156184270] 2 [-7527600824166978:53457827169526100:23317668144009]
83232bk (2 curves)	1	2- 3- 17+	2- 3-  2  2  2  2 17+  4
Curve Equation t Generators 83232bk1 [0,0,0,-58089,5384648] 2 [17845:4628:125] 83232bk2 [0,0,0,-45084,7860800] 2 [178:2340:1]
83232bl (2 curves)	1	2- 3- 17+	2- 3-  2 -2  0  2 17+ -4
Curve Equation t Generators 83232bl1 [0,0,0,-162129,-22717712] 2 [-326842320:-859228264:1157625] 83232bl2 [0,0,0,-604299,156184270] 2 [-106355:921942:125]
83232bm (2 curves)	1	2- 3- 17+	2- 3-  2 -2 -2  2 17+ -4
Curve Equation t Generators 83232bm1 [0,0,0,-58089,-5384648] 2 [842259:19345540:1331] 83232bm2 [0,0,0,-45084,-7860800] 2 [2450:120780:1]
83232bn (4 curves)	1	2- 3- 17+	2- 3-  2  4  4 -2 17+ -4
Curve Equation t Generators 83232bn1 [0,0,0,-6069,-98260] 4 [-49577:367220:1331] 83232bn2 [0,0,0,19941,-717298] 2 [116705:3604986:125] 83232bn3 [0,0,0,-45084,3615968] 2 [-106:2684:1] 83232bn4 [0,0,0,-84099,-9383830] 2 [-139608310270:10337864285:846590536]
83232bo (2 curves)	1	2- 3- 17+	2- 3- -2  2  0  2 17+ -4
Curve Equation t Generators 83232bo1 [0,0,0,-561,-4624] 2 [-16:16:1] 83232bo2 [0,0,0,-2091,31790] 2 [-47:162:1]
83232bp (2 curves)	1	2- 3- 17+	2- 3- -2 -2  0  2 17+  4
Curve Equation t Generators 83232bp1 [0,0,0,-561,4624] 2 [-1:72:1] 83232bp2 [0,0,0,-2091,-31790] 2 [-18:4:1]
83232bq (1 curve)	1	2- 3- 17+	2- 3- -3 -2 -3  3 17+  5
Curve Equation t Generators 83232bq1 [0,0,0,6936,-2908496] 1 [476:10404:1]
83232br (1 curve)	0	2- 3- 17-	2- 3-  1  4  1  2 17-  4
Curve Equation t 83232br1 [0,0,0,103173,-167042] 1
83232bs (1 curve)	0	2- 3- 17-	2- 3-  1 -4 -1  2 17- -4
Curve Equation t 83232bs1 [0,0,0,103173,167042] 1

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