Cremona's table of elliptic curves

86394 = 2 · 3 · 7 · 11² · 17

Class	r	Atkin-Lehner	Eigenvalues
86394a (1 curve)	0	2+ 3+ 7+ 11- 17+	2+ 3+ -1 7+ 11-  2 17+  1
Curve Equation t 86394a1 [1,1,0,-98133,-9042579] 1
86394b (6 curves)	0	2+ 3+ 7+ 11- 17+	2+ 3+ -2 7+ 11-  2 17+ -4
Curve Equation t 86394b1 [1,1,0,-8499526,-9529233644] 2 86394b2 [1,1,0,-10977606,-3522863340] 4 86394b3 [1,1,0,42339834,-27654336684] 2 86394b4 [1,1,0,-103944326,405065871060] 4 86394b5 [1,1,0,-35405086,931351279324] 2 86394b6 [1,1,0,-1659951086,26030318798796] 2
86394c (1 curve)	0	2+ 3+ 7+ 11- 17+	2+ 3+  3 7+ 11- -3 17+  6
Curve Equation t 86394c1 [1,1,0,119,1687] 1
86394d (4 curves)	1	2+ 3+ 7+ 11- 17-	2+ 3+  2 7+ 11- -2 17-  4
Curve Equation t Generators 86394d1 [1,1,0,-81314,-24153180] 2 [5997162718105:-241493129376065:3659383421] 86394d2 [1,1,0,-1845494,-964461120] 4 [-9442811:-8099882:12167] 86394d3 [1,1,0,-2400884,-336759342] 2 [514433955675:-21924604004343:190109375] 86394d4 [1,1,0,-29516984,-61736587458] 2 [-20284285574457:10191114672616:6466042647]
86394e (1 curve)	1	2+ 3+ 7+ 11- 17-	2+ 3+  4 7+ 11- -7 17-  2
Curve Equation t Generators 86394e1 [1,1,0,-1695333,1004093325] 1 [18550:772385:8]
86394f (1 curve)	1	2+ 3+ 7+ 11- 17-	2+ 3+ -4 7+ 11- -2 17-  7
Curve Equation t Generators 86394f1 [1,1,0,-772,10960] 1 [-24:140:1]
86394g (2 curves)	0	2+ 3+ 7- 11+ 17+	2+ 3+ -2 7- 11+  2 17+ -2
Curve Equation t 86394g1 [1,1,0,-2436051,1461853485] 2 86394g2 [1,1,0,-2041811,1951263021] 2
86394h (1 curve)	1	2+ 3+ 7- 11- 17+	2+ 3+  1 7- 11-  6 17+ -5
Curve Equation t Generators 86394h1 [1,1,0,-15875807,20192430867] 1 [1381:29378:1]
86394i (1 curve)	1	2+ 3+ 7- 11- 17+	2+ 3+  2 7- 11-  2 17+ -4
Curve Equation t Generators 86394i1 [1,1,0,-255334,-50480492] 1 [50403:2063189:27]
86394j (4 curves)	1	2+ 3+ 7- 11- 17+	2+ 3+ -2 7- 11- -2 17+  4
Curve Equation t Generators 86394j1 [1,1,0,-110596,-9112880] 2 [-159:2197:1] 86394j2 [1,1,0,-730116,233119440] 4 [-423:21810:1] 86394j3 [1,1,0,218524,797180784] 2 [-199:27410:1] 86394j4 [1,1,0,-11591076,15184316976] 2 [1979:64:1]
86394k (1 curve)	1	2+ 3+ 7- 11- 17+	2+ 3+ -2 7- 11- -5 17+ -2
Curve Equation t Generators 86394k1 [1,1,0,-266,-1866] 1 [31:129:1]
86394l (4 curves)	1	2+ 3+ 7- 11- 17+	2+ 3+ -2 7- 11-  6 17+  0
Curve Equation t Generators 86394l1 [1,1,0,119,-134075] 2 [99:878:1] 86394l2 [1,1,0,-38601,-2883195] 4 [-117:279:1] 86394l3 [1,1,0,-82161,4757229] 2 [-255:3162:1] 86394l4 [1,1,0,-614561,-185692899] 2 [1029:16002:1]
86394m (1 curve)	1	2+ 3+ 7- 11- 17+	2+ 3+ -2 7- 11-  6 17+ -8
Curve Equation t Generators 86394m1 [1,1,0,-2877261,2069553501] 1 [655:21271:1]
86394n (1 curve)	1	2+ 3+ 7- 11- 17+	2+ 3+ -3 7- 11-  2 17+  1
Curve Equation t Generators 86394n1 [1,1,0,-139394,19886706] 1 [-293:6120:1]
86394o (1 curve)	1	2+ 3+ 7- 11- 17+	2+ 3+  4 7- 11- -2 17+  1
Curve Equation t Generators 86394o1 [1,1,0,14516247,-80916454395] 1 [1624059470:164814903457:166375]
86394p (1 curve)	1	2+ 3+ 7- 11- 17+	2+ 3+  4 7- 11- -4 17+ -4
Curve Equation t Generators 86394p1 [1,1,0,-9803,-545475] 1 [3225:400:27]
86394q (1 curve)	0	2+ 3+ 7- 11- 17-	2+ 3+  1 7- 11-  2 17-  5
Curve Equation t 86394q1 [1,1,0,-180292,29359312] 1
86394r (4 curves)	0	2+ 3+ 7- 11- 17-	2+ 3+  2 7- 11-  2 17-  8
Curve Equation t 86394r1 [1,1,0,26376,3854448] 2 86394r2 [1,1,0,-266444,46196220] 4 86394r3 [1,1,0,-1104974,-400740270] 2 86394r4 [1,1,0,-4113034,3208862518] 2
86394s (1 curve)	0	2+ 3+ 7- 11- 17-	2+ 3+  3 7- 11- -1 17- -6
Curve Equation t 86394s1 [1,1,0,-266686,54210292] 1
86394t (1 curve)	0	2+ 3+ 7- 11- 17-	2+ 3+ -4 7- 11- -3 17-  0
Curve Equation t 86394t1 [1,1,0,56263,3647175] 1
86394u (1 curve)	1	2+ 3- 7+ 11- 17+	2+ 3- -1 7+ 11-  3 17+  4
Curve Equation t Generators 86394u1 [1,0,1,-30374,-2438152] 1 [1077:34309:1]
86394v (1 curve)	1	2+ 3- 7+ 11- 17+	2+ 3- -2 7+ 11- -3 17+ -6
Curve Equation t Generators 86394v1 [1,0,1,118,-8956] 1 [74:600:1]
86394w (2 curves)	1	2+ 3- 7+ 11- 17+	2+ 3- -3 7+ 11-  1 17+ -2
Curve Equation t Generators 86394w1 [1,0,1,16855660,1534247570] 1 [417:92719:1] 86394w2 [1,0,1,-237883220,1499323032722] 1 [-4071:1551319:1]
86394x (1 curve)	0	2+ 3- 7+ 11- 17-	2+ 3-  0 7+ 11- -1 17- -4
Curve Equation t 86394x1 [1,0,1,-10256326,221725930424] 1
86394y (2 curves)	0	2+ 3- 7+ 11- 17-	2+ 3-  0 7+ 11- -5 17-  4
Curve Equation t 86394y1 [1,0,1,-2236,-40966] 1 86394y2 [1,0,1,4364,-207814] 1
86394z (1 curve)	0	2+ 3- 7+ 11- 17-	2+ 3- -1 7+ 11-  2 17-  5
Curve Equation t 86394z1 [1,0,1,-20262784,27740008910] 1
86394ba (1 curve)	0	2+ 3- 7+ 11- 17-	2+ 3- -1 7+ 11-  5 17-  0
Curve Equation t 86394ba1 [1,0,1,-42426959,-107364236542] 1
86394bb (2 curves)	0	2+ 3- 7+ 11- 17-	2+ 3-  2 7+ 11- -4 17-  0
Curve Equation t 86394bb1 [1,0,1,-1346370,551065216] 2 86394bb2 [1,0,1,1558840,2605629728] 2
86394bc (1 curve)	0	2+ 3- 7+ 11- 17-	2+ 3- -3 7+ 11- -1 17-  2
Curve Equation t 86394bc1 [1,0,1,478915,-138589288] 1
86394bd (3 curves)	0	2+ 3- 7+ 11- 17-	2+ 3- -3 7+ 11- -5 17- -2
Curve Equation t 86394bd1 [1,0,1,13065,-15511718] 1 86394bd2 [1,0,1,-117615,419339050] 1 86394bd3 [1,0,1,-46185945,120813067582] 1
86394be (2 curves)	1	2+ 3- 7- 11+ 17+	2+ 3- -2 7- 11+  0 17+ -2
Curve Equation t Generators 86394be1 [1,0,1,-2681488142,53445373791500] 2 [20580:2631079:1] 86394be2 [1,0,1,-2681581312,53441474067980] 2 [20578:2630513:1]
86394bf (2 curves)	1	2+ 3- 7- 11+ 17+	2+ 3- -2 7- 11+ -6 17+  4
Curve Equation t Generators 86394bf1 [1,0,1,-33363872,72883511534] 2 [-1944:362077:1] 86394bf2 [1,0,1,1223648,216656914670] 2 [-536:464861:1]
86394bg (2 curves)	0	2+ 3- 7- 11- 17+	2+ 3-  0 7- 11- -1 17+  2
Curve Equation t 86394bg1 [1,0,1,-14281,1755950] 3 86394bg2 [1,0,1,125474,-41456296] 1
86394bh (6 curves)	0	2+ 3- 7- 11- 17+	2+ 3- -2 7- 11-  2 17+  4
Curve Equation t 86394bh1 [1,0,1,-2297067,-1340111786] 2 86394bh2 [1,0,1,-2451947,-1149113770] 4 86394bh3 [1,0,1,5611493,-7119284746] 2 86394bh4 [1,0,1,-12993467,17045549750] 4 86394bh5 [1,0,1,10086073,71042441534] 2 86394bh6 [1,0,1,-204737327,1127549289326] 2
86394bi (2 curves)	1	2+ 3- 7- 11- 17-	2+ 3-  0 7- 11-  2 17- -6
Curve Equation t Generators 86394bi1 [1,0,1,-319201,-69153196] 2 [-326:698:1] 86394bi2 [1,0,1,-154641,-140308940] 2 [791:14850:1]
86394bj (1 curve)	1	2+ 3- 7- 11- 17-	2+ 3-  1 7- 11- -6 17- -3
Curve Equation t Generators 86394bj1 [1,0,1,-718,-7240] 1 [-14:17:1]
86394bk (1 curve)	1	2+ 3- 7- 11- 17-	2+ 3- -3 7- 11- -2 17- -5
Curve Equation t Generators 86394bk1 [1,0,1,-359010,82683412] 1 [10:8888:1]
86394bl (2 curves)	1	2- 3+ 7+ 11+ 17-	2- 3+ -2 7+ 11+ -2 17-  2
Curve Equation t Generators 86394bl1 [1,1,1,-294762234,-1947200799609] 2 [-9879:32139:1] 86394bl2 [1,1,1,-247059194,-2598366376825] 2 [64657:-15898429:1]
86394bm (2 curves)	1	2- 3+ 7+ 11- 17+	2- 3+  0 7+ 11- -2 17+  2
Curve Equation t Generators 86394bm1 [1,1,1,-33943,-2363107] 2 [213:250:1] 86394bm2 [1,1,1,7197,-7678395] 2 [5025:7960:27]
86394bn (1 curve)	1	2- 3+ 7+ 11- 17+	2- 3+  1 7+ 11- -2 17+ -5
Curve Equation t Generators 86394bn1 [1,1,1,-21815395,-39186321151] 1 [-2651:6262:1]
86394bo (1 curve)	1	2- 3+ 7+ 11- 17+	2- 3+ -1 7+ 11-  5 17+ -2
Curve Equation t Generators 86394bo1 [1,1,1,-4661,-694033] 1 [303:4930:1]
86394bp (2 curves)	1	2- 3+ 7+ 11- 17+	2- 3+ -2 7+ 11-  4 17+ -8
Curve Equation t Generators 86394bp1 [1,1,1,-297879194,1978705048871] 2 [9953:-3125:1] 86394bp2 [1,1,1,-296930554,1991935161767] 2 [-13909:1859343:1]
86394bq (2 curves)	1	2- 3+ 7+ 11- 17+	2- 3+ -2 7+ 11- -4 17+  2
Curve Equation t Generators 86394bq1 [1,1,1,-2604,-72819] 2 [97:725:1] 86394bq2 [1,1,1,-46164,-3836403] 2 [-125:83:1]
86394br (1 curve)	1	2- 3+ 7+ 11- 17+	2- 3+  3 7+ 11-  1 17+  2
Curve Equation t Generators 86394br1 [1,1,1,-408391519,3176434767749] 1 [1667:1580394:1]
86394bs (1 curve)	1	2- 3+ 7+ 11- 17+	2- 3+ -4 7+ 11-  3 17+  0
Curve Equation t Generators 86394bs1 [1,1,1,465,-2529] 1 [454:3441:8]
86394bt (1 curve)	0	2- 3+ 7+ 11- 17-	2- 3+  1 7+ 11-  1 17-  6
Curve Equation t 86394bt1 [1,1,1,-1766300,905090429] 1
86394bu (1 curve)	0	2- 3+ 7+ 11- 17-	2- 3+  1 7+ 11-  1 17- -8
Curve Equation t 86394bu1 [1,1,1,-5895425,-5826338737] 1
86394bv (1 curve)	0	2- 3+ 7+ 11- 17-	2- 3+  1 7+ 11- -6 17-  5
Curve Equation t 86394bv1 [1,1,1,-131205,-15230511] 1
86394bw (1 curve)	0	2- 3+ 7+ 11- 17-	2- 3+  2 7+ 11- -2 17-  4
Curve Equation t 86394bw1 [1,1,1,-30895477,67035057563] 1
86394bx (1 curve)	0	2- 3+ 7+ 11- 17-	2- 3+ -2 7+ 11-  5 17-  2
Curve Equation t 86394bx1 [1,1,1,-32249,2322497] 1
86394by (1 curve)	0	2- 3+ 7+ 11- 17-	2- 3+ -2 7+ 11- -6 17-  8
Curve Equation t 86394by1 [1,1,1,-23779,-1565695] 1
86394bz (1 curve)	0	2- 3+ 7+ 11- 17-	2- 3+ -3 7+ 11- -2 17- -1
Curve Equation t 86394bz1 [1,1,1,-1152,-15465] 1
86394ca (1 curve)	0	2- 3+ 7+ 11- 17-	2- 3+  4 7+ 11-  2 17- -1
Curve Equation t 86394ca1 [1,1,1,119969,60848261] 1
86394cb (1 curve)	0	2- 3+ 7+ 11- 17-	2- 3+  4 7+ 11-  4 17-  4
Curve Equation t 86394cb1 [1,1,1,-1186226,720096191] 1
86394cc (1 curve)	0	2- 3+ 7- 11- 17+	2- 3+  1 7- 11-  3 17+ -6
Curve Equation t 86394cc1 [1,1,1,-4540,119813] 1
86394cd (2 curves)	0	2- 3+ 7- 11- 17+	2- 3+ -2 7- 11-  0 17+  0
Curve Equation t 86394cd1 [1,1,1,-12848569,-17327232889] 2 86394cd2 [1,1,1,2329671,-55752465273] 2
86394ce (2 curves)	0	2- 3+ 7- 11- 17+	2- 3+  4 7- 11-  6 17+  6
Curve Equation t 86394ce1 [1,1,1,-449336,111573881] 2 86394ce2 [1,1,1,208904,411731321] 2
86394cf (1 curve)	0	2- 3+ 7- 11- 17+	2- 3+  4 7- 11-  7 17+ -2
Curve Equation t 86394cf1 [1,1,1,-14011,-760759] 1
86394cg (1 curve)	0	2- 3+ 7- 11- 17+	2- 3+ -4 7- 11-  2 17+ -7
Curve Equation t 86394cg1 [1,1,1,-93475,-15055039] 1
86394ch (1 curve)	1	2- 3+ 7- 11- 17-	2- 3+ -1 7- 11- -2 17- -1
Curve Equation t Generators 86394ch1 [1,1,1,-811,6425] 1 [7:30:1]
86394ci (2 curves)	1	2- 3+ 7- 11- 17-	2- 3+  2 7- 11-  0 17-  2
Curve Equation t Generators 86394ci1 [1,1,1,-403477,-111079429] 2 [985:20682:1] 86394ci2 [1,1,1,-6676117,-6642152197] 2 [-1489:996:1]
86394cj (4 curves)	1	2- 3+ 7- 11- 17-	2- 3+ -2 7- 11- -2 17-  0
Curve Equation t Generators 86394cj1 [1,1,1,-44349,-461229] 4 [-177:1460:1] 86394cj2 [1,1,1,-518669,-143705869] 4 [-419:734:1] 86394cj3 [1,1,1,-332329,-248130805] 2 [44589:1622342:27] 86394cj4 [1,1,1,-8294129,-9197451493] 2 [-25985525:12946058:15625]
86394ck (2 curves)	0	2- 3- 7+ 11+ 17-	2- 3- -2 7+ 11+  0 17-  2
Curve Equation t 86394ck1 [1,0,0,-22161059,-40156315011] 2 86394ck2 [1,0,0,-22161829,-40153385161] 2
86394cl (2 curves)	0	2- 3- 7+ 11+ 17-	2- 3- -2 7+ 11+  6 17- -4
Curve Equation t 86394cl1 [1,0,0,-4037028454,-97011990880540] 2 86394cl2 [1,0,0,148061466,-288370205364636] 2
86394cm (1 curve)	0	2- 3- 7+ 11- 17+	2- 3-  1 7+ 11-  6 17+  3
Curve Equation t 86394cm1 [1,0,0,-86820,9549288] 1
86394cn (4 curves)	0	2- 3- 7+ 11- 17+	2- 3-  2 7+ 11- -6 17+  4
Curve Equation t 86394cn1 [1,0,0,7318,89508] 2 86394cn2 [1,0,0,-31402,732260] 4 86394cn3 [1,0,0,-278242,-55991572] 2 86394cn4 [1,0,0,-404082,98747100] 2
86394co (1 curve)	0	2- 3- 7+ 11- 17+	2- 3- -3 7+ 11-  2 17+  5
Curve Equation t 86394co1 [1,0,0,-2967,-62391] 1
86394cp (2 curves)	1	2- 3- 7+ 11- 17-	2- 3-  0 7+ 11-  1 17- -2
Curve Equation t Generators 86394cp1 [1,0,0,-118,-1330] 1 [134:239:8] 86394cp2 [1,0,0,1037,31241] 1 [-20:61:1]
86394cq (2 curves)	1	2- 3- 7+ 11- 17-	2- 3-  3 7+ 11- -5 17- -2
Curve Equation t Generators 86394cq1 [1,0,0,5866,1365816] 1 [340:6364:1] 86394cq2 [1,0,0,-772769,261489801] 1 [340:6001:1]
86394cr (1 curve)	1	2- 3- 7- 11- 17+	2- 3-  0 7- 11-  1 17+  4
Curve Equation t Generators 86394cr1 [1,0,0,-84763,-166593679] 1 [770:-15379:1]
86394cs (2 curves)	1	2- 3- 7- 11- 17+	2- 3-  0 7- 11-  5 17+ -4
Curve Equation t Generators 86394cs1 [1,0,0,-270498,54254916] 3 [288:366:1] 86394cs2 [1,0,0,528102,277128204] 1 [63678:3235306:27]
86394ct (1 curve)	1	2- 3- 7- 11- 17+	2- 3- -1 7- 11- -2 17+ -5
Curve Equation t Generators 86394ct1 [1,0,0,-167461,-20856703] 1 [-154:1211:1]
86394cu (1 curve)	0	2- 3- 7- 11- 17-	2- 3- -2 7- 11-  3 17-  6
Curve Equation t 86394cu1 [1,0,0,14336,11934440] 1

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