Cremona's table of elliptic curves

86700 = 2² · 3 · 5² · 17²

Class	r	Atkin-Lehner	Eigenvalues
86700a (2 curves)	0	2- 3+ 5+ 17+	2- 3+ 5+  0  2  6 17+  4
Curve Equation t 86700a1 [0,-1,0,-327533,46123062] 2 86700a2 [0,-1,0,-2169908,-1195637688] 2
86700b (1 curve)	0	2- 3+ 5+ 17+	2- 3+ 5+  0 -4 -1 17+  7
Curve Equation t 86700b1 [0,-1,0,-1133,-14343] 1
86700c (2 curves)	0	2- 3+ 5+ 17+	2- 3+ 5+  0  6 -2 17+ -8
Curve Equation t 86700c1 [0,-1,0,-183033,-28438938] 2 86700c2 [0,-1,0,142092,-118823688] 2
86700d (1 curve)	0	2- 3+ 5+ 17+	2- 3+ 5+  1  0  3 17+  1
Curve Equation t 86700d1 [0,-1,0,-6233,192462] 1
86700e (1 curve)	2	2- 3+ 5+ 17+	2- 3+ 5+ -1 -3  2 17+  1
Curve Equation t Generators 86700e1 [0,-1,0,-45758,-47317863] 1 [3202:180625:1]&[1468:55199:1]
86700f (1 curve)	0	2- 3+ 5+ 17+	2- 3+ 5+  2 -3 -3 17+ -3
Curve Equation t 86700f1 [0,-1,0,-1133,316137] 1
86700g (1 curve)	0	2- 3+ 5+ 17+	2- 3+ 5+  3 -1  2 17+  1
Curve Equation t 86700g1 [0,-1,0,214342,33659937] 1
86700h (1 curve)	0	2- 3+ 5+ 17+	2- 3+ 5+ -3 -3  2 17+ -3
Curve Equation t 86700h1 [0,-1,0,-6837258,-7287634863] 1
86700i (1 curve)	0	2- 3+ 5+ 17+	2- 3+ 5+ -3 -3  4 17+  1
Curve Equation t 86700i1 [0,-1,0,-8889158,10206604437] 1
86700j (1 curve)	0	2- 3+ 5+ 17+	2- 3+ 5+ -3 -4 -1 17+  1
Curve Equation t 86700j1 [0,-1,0,-2784033,-2319486438] 1
86700k (1 curve)	0	2- 3+ 5+ 17+	2- 3+ 5+  4 -3 -3 17+  1
Curve Equation t 86700k1 [0,-1,0,-11714133,-15449572863] 1
86700l (1 curve)	2	2- 3+ 5+ 17+	2- 3+ 5+ -4  3 -4 17+ -5
Curve Equation t Generators 86700l1 [0,-1,0,-1133,10137] 1 [7:-50:1]&[-13:150:1]
86700m (1 curve)	1	2- 3+ 5+ 17-	2- 3+ 5+  0  4  1 17-  2
Curve Equation t Generators 86700m1 [0,-1,0,-204708,35363592] 1 [193:1734:1]
86700n (2 curves)	1	2- 3+ 5+ 17-	2- 3+ 5+  1  0 -5 17- -1
Curve Equation t Generators 86700n1 [0,-1,0,-12610033,17241623062] 1 [32969994:662136050:12167] 86700n2 [0,-1,0,2128967,54361794562] 1 [16377:2116925:1]
86700o (1 curve)	1	2- 3+ 5+ 17-	2- 3+ 5+ -3 -4 -1 17-  7
Curve Equation t Generators 86700o1 [0,-1,0,163767,18118962] 1 [482:14450:1]
86700p (2 curves)	1	2- 3+ 5- 17+	2- 3+ 5-  0  0  0 17+ -4
Curve Equation t Generators 86700p1 [0,-1,0,-21193,166282] 2 [-147:289:1] 86700p2 [0,-1,0,-216268,-38458568] 2 [-282:154:1]
86700q (1 curve)	1	2- 3+ 5- 17+	2- 3+ 5-  0 -4 -1 17+  2
Curve Equation t Generators 86700q1 [0,-1,0,-17708,903912] 1 [1767:3916:27]
86700r (1 curve)	1	2- 3+ 5- 17+	2- 3+ 5-  1  3 -4 17+  1
Curve Equation t Generators 86700r1 [0,-1,0,-2219038,1277296297] 1 [771:4913:1]
86700s (1 curve)	1	2- 3+ 5- 17+	2- 3+ 5-  1 -3  4 17+  1
Curve Equation t Generators 86700s1 [0,-1,0,-191958,32543037] 1 [367:3375:1]
86700t (2 curves)	1	2- 3+ 5- 17+	2- 3+ 5-  1 -6  5 17+  5
Curve Equation t Generators 86700t1 [0,-1,0,-96333,-16799463] 1 [543389:21155378:343] 86700t2 [0,-1,0,-8766333,-9987299463] 1 [501999647592968:-12630392164610989:135084663091]
86700u (1 curve)	1	2- 3+ 5- 17+	2- 3+ 5- -1  2 -3 17+  1
Curve Equation t Generators 86700u1 [0,-1,0,-732133,241508737] 1 [567:2890:1]
86700v (1 curve)	1	2- 3+ 5- 17+	2- 3+ 5- -1  5 -4 17+  1
Curve Equation t Generators 86700v1 [0,-1,0,-11078,817977] 1 [142:1445:1]
86700w (1 curve)	1	2- 3+ 5- 17+	2- 3+ 5-  2 -1 -4 17+  7
Curve Equation t Generators 86700w1 [0,-1,0,-78653,-8464023] 1 [347:2430:1]
86700x (1 curve)	1	2- 3+ 5- 17+	2- 3+ 5-  3  2  5 17+ -7
Curve Equation t Generators 86700x1 [0,-1,0,-94021333,-575870974463] 1 [2464486987167369235846728005943208751488633339744218474367696273443823237813722584826626838024:322878011294677434515459599117748562236331895106676451886019761923353253441567264284332628762227:109602920665760844789724307208170738785099090307135840148548072020665296902461036540429769]
86700y (1 curve)	1	2- 3+ 5- 17+	2- 3+ 5-  3 -3  0 17+ -7
Curve Equation t Generators 86700y1 [0,-1,0,25733042,129684955537] 1 [21766206:5501945875:343]
86700z (2 curves)	1	2- 3+ 5- 17+	2- 3+ 5- -4  4  0 17+  0
Curve Equation t Generators 86700z1 [0,-1,0,-96333,10836162] 2 [-342:1914:1] 86700z2 [0,-1,0,84292,46599912] 2 [-2846866:-23523147:10648]
86700ba (1 curve)	0	2- 3+ 5- 17-	2- 3+ 5-  0  4  1 17-  7
Curve Equation t 86700ba1 [0,-1,0,-8188333,-9037645463] 1
86700bb (1 curve)	0	2- 3+ 5- 17-	2- 3+ 5-  2  1  4 17-  7
Curve Equation t 86700bb1 [0,-1,0,-568270333,-5213879671463] 1
86700bc (2 curves)	1	2- 3- 5+ 17+	2- 3- 5+  0  2 -2 17+  8
Curve Equation t Generators 86700bc1 [0,1,0,-3182766633,69105455260488] 2 [43803:3706425:1] 86700bc2 [0,1,0,-2945750508,79832805077988] 2 [39672:5040738:1]
86700bd (2 curves)	1	2- 3- 5+ 17+	2- 3- 5+  0 -2  6 17+  4
Curve Equation t Generators 86700bd1 [0,1,0,-1133,8988] 2 [-23:153:1] 86700bd2 [0,1,0,-7508,-246012] 2 [-48:78:1]
86700be (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+  0 -4  1 17+  2
Curve Equation t Generators 86700be1 [0,1,0,-708,6948] 1 [12:18:1]
86700bf (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+  0 -5  5 17+  1
Curve Equation t Generators 86700bf1 [0,1,0,-38533,-4470937] 1 [10803:179758:27]
86700bg (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+  1  2  3 17+  1
Curve Equation t Generators 86700bg1 [0,1,0,-18303333,30151985463] 1 [3239502:286941453:343]
86700bh (2 curves)	1	2- 3- 5+ 17+	2- 3- 5+ -1  0 -5 17+ -1
Curve Equation t Generators 86700bh1 [0,1,0,-43633,3493988] 1 [128:150:1] 86700bh2 [0,1,0,7367,11067488] 1 [-212:150:1]
86700bi (2 curves)	1	2- 3- 5+ 17+	2- 3- 5+ -1  3  4 17+ -7
Curve Equation t Generators 86700bi1 [0,1,0,-45758,6785613] 1 [793:21675:1] 86700bi2 [0,1,0,387742,-130633887] 1 [19371:614125:27]
86700bj (2 curves)	1	2- 3- 5+ 17+	2- 3- 5+ -1 -6 -5 17+  5
Curve Equation t Generators 86700bj1 [0,1,0,-3853,-135937] 1 [1082:35547:1] 86700bj2 [0,1,0,-350653,-80038657] 1 [7938238:223910553:6859]
86700bk (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+ -2  3 -3 17+ -3
Curve Equation t Generators 86700bk1 [0,1,0,-327533,1551216063] 1 [9922:987513:1]
86700bl (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+  3  3  2 17+ -3
Curve Equation t Generators 86700bl1 [0,1,0,-23658,-1491687] 1 [198:1275:1]
86700bm (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+  3  4 -1 17+  7
Curve Equation t Generators 86700bm1 [0,1,0,567,3888] 1 [3:75:1]
86700bn (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+ -3  2 -5 17+ -7
Curve Equation t Generators 86700bn1 [0,1,0,-3760853,-4608472137] 1 [11809:1264086:1]
86700bo (2 curves)	1	2- 3- 5+ 17+	2- 3- 5+  5 -3 -2 17+ -7
Curve Equation t Generators 86700bo1 [0,1,0,-623758,-212854387] 1 [1073:18825:1] 86700bo2 [0,1,0,-52210258,-145222505887] 1 [302948373:53323663625:9261]
86700bp (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+ -5  5  0 17+  1
Curve Equation t Generators 86700bp1 [0,1,0,-1230658,3857363813] 1 [-907:65025:1]
86700bq (1 curve)	0	2- 3- 5+ 17-	2- 3- 5+  0  4 -1 17-  7
Curve Equation t 86700bq1 [0,1,0,-327533,-72432177] 1
86700br (1 curve)	0	2- 3- 5+ 17-	2- 3- 5+ -1  0  3 17-  1
Curve Equation t 86700br1 [0,1,0,-1801433,934757388] 1
86700bs (1 curve)	0	2- 3- 5+ 17-	2- 3- 5+  3  4 -1 17-  1
Curve Equation t 86700bs1 [0,1,0,-9633,-475512] 1
86700bt (1 curve)	0	2- 3- 5+ 17-	2- 3- 5+  4 -3 -4 17- -5
Curve Equation t 86700bt1 [0,1,0,-327533,47838063] 1
86700bu (2 curves)	0	2- 3- 5- 17+	2- 3- 5-  0  0  0 17+ -4
Curve Equation t 86700bu1 [0,1,0,-529833,19725588] 2 86700bu2 [0,1,0,-5406708,-4818134412] 2
86700bv (1 curve)	0	2- 3- 5- 17+	2- 3- 5-  0 -4  1 17+  7
Curve Equation t 86700bv1 [0,1,0,-28333,-1849537] 1
86700bw (1 curve)	0	2- 3- 5- 17+	2- 3- 5-  1  5  4 17+  1
Curve Equation t 86700bw1 [0,1,0,-276958,101693213] 1
86700bx (1 curve)	0	2- 3- 5- 17+	2- 3- 5- -1  3  4 17+  1
Curve Equation t 86700bx1 [0,1,0,-55475958,159551085213] 1
86700by (1 curve)	2	2- 3- 5- 17+	2- 3- 5- -1 -3 -4 17+  1
Curve Equation t Generators 86700by1 [0,1,0,-7678,257273] 1 [62:153:1]&[-82:585:1]
86700bz (1 curve)	0	2- 3- 5- 17+	2- 3- 5- -2 -1  4 17+  7
Curve Equation t 86700bz1 [0,1,0,-1966333,-1061935537] 1
86700ca (1 curve)	0	2- 3- 5- 17+	2- 3- 5- -3 -3  0 17+ -7
Curve Equation t 86700ca1 [0,1,0,1029322,1037891373] 1
86700cb (2 curves)	0	2- 3- 5- 17+	2- 3- 5-  4  4  0 17+  0
Curve Equation t 86700cb1 [0,1,0,-3853,85148] 2 86700cb2 [0,1,0,3372,374148] 2
86700cc (1 curve)	1	2- 3- 5- 17-	2- 3- 5-  0  4 -1 17-  2
Curve Equation t Generators 86700cc1 [0,1,0,-5117708,4410213588] 1 [1183:3600:1]
86700cd (1 curve)	1	2- 3- 5- 17-	2- 3- 5- -2  1 -4 17-  7
Curve Equation t Generators 86700cd1 [0,1,0,-22730813,-41720129697] 1 [-2747:270:1]

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