Cremona's table of elliptic curves

87822 = 2 · 3² · 7 · 17 · 41

Class	r	Atkin-Lehner	Eigenvalues
87822a (2 curves)	1	2+ 3+ 7- 17+ 41-	2+ 3+  3 7-  3 -1 17+ -4
Curve Equation t Generators 87822a1 [1,-1,0,11622,-226692] 3 [1526987097:29119462335:4330747] 87822a2 [1,-1,0,-215313,-39251107] 1 [3241:180859:1]
87822b (1 curve)	0	2+ 3- 7+ 17+ 41+	2+ 3-  0 7+  1  0 17+ -3
Curve Equation t 87822b1 [1,-1,0,3528,-236736] 1
87822c (2 curves)	0	2+ 3- 7+ 17+ 41+	2+ 3-  0 7+  4  0 17+  0
Curve Equation t 87822c1 [1,-1,0,-7641702,-8126200908] 2 87822c2 [1,-1,0,-6512742,-10611493452] 2
87822d (1 curve)	0	2+ 3- 7+ 17+ 41+	2+ 3-  1 7+  2  1 17+  2
Curve Equation t 87822d1 [1,-1,0,-483939,-129475179] 1
87822e (1 curve)	2	2+ 3- 7+ 17+ 41+	2+ 3- -1 7+ -4 -5 17+ -2
Curve Equation t Generators 87822e1 [1,-1,0,0,5184] 1 [9:-81:1]&[-8:72:1]
87822f (6 curves)	0	2+ 3- 7+ 17+ 41+	2+ 3-  2 7+  4 -2 17+ -4
Curve Equation t 87822f1 [1,-1,0,11664,0] 2 87822f2 [1,-1,0,-46656,34992] 4 87822f3 [1,-1,0,-514836,141893532] 4 87822f4 [1,-1,0,-511596,-140283900] 2 87822f5 [1,-1,0,-289926,266448690] 2 87822f6 [1,-1,0,-8230626,9090666774] 2
87822g (4 curves)	0	2+ 3- 7+ 17+ 41+	2+ 3-  2 7+  4 -2 17+ -8
Curve Equation t 87822g1 [1,-1,0,-58401,-5414531] 2 87822g2 [1,-1,0,-69921,-3117443] 4 87822g3 [1,-1,0,247599,-23756243] 2 87822g4 [1,-1,0,-571761,164396749] 2
87822h (6 curves)	0	2+ 3- 7+ 17+ 41+	2+ 3-  2 7+ -4 -2 17+  4
Curve Equation t 87822h1 [1,-1,0,-80606016,-278708760576] 2 87822h2 [1,-1,0,-1289929536,-17831555923968] 4 87822h3 [1,-1,0,-1290162816,-17824783572288] 4 87822h4 [1,-1,0,-20638872576,-1141235058614976] 2 87822h5 [1,-1,0,-1023287256,-25411041615960] 2 87822h6 [1,-1,0,-1560770856,-9805097820456] 2
87822i (2 curves)	0	2+ 3- 7+ 17+ 41+	2+ 3-  4 7+ -4  4 17+ -4
Curve Equation t 87822i1 [1,-1,0,-94095,11127213] 2 87822i2 [1,-1,0,-76455,15413733] 2
87822j (2 curves)	1	2+ 3- 7+ 17- 41+	2+ 3-  0 7+  2 -6 17-  8
Curve Equation t Generators 87822j1 [1,-1,0,-432612,229839120] 2 [1542:98373:8] 87822j2 [1,-1,0,-8859852,10145329704] 2 [14598:50229:8]
87822k (2 curves)	1	2+ 3- 7+ 17- 41+	2+ 3- -2 7+ -2 -2 17- -4
Curve Equation t Generators 87822k1 [1,-1,0,79632,-15598544] 2 [203:2882:1] 87822k2 [1,-1,0,-663948,-173386220] 2 [-334:3488:1]
87822l (2 curves)	1	2+ 3- 7+ 17- 41+	2+ 3- -2 7+  6  2 17-  0
Curve Equation t Generators 87822l1 [1,-1,0,-558,6916] 2 [8:-58:1] 87822l2 [1,-1,0,-9738,372280] 2 [62:-94:1]
87822m (2 curves)	0	2+ 3- 7+ 17- 41-	2+ 3-  2 7+  4 -2 17- -4
Curve Equation t 87822m1 [1,-1,0,-621,-46683] 2 87822m2 [1,-1,0,-23661,-1387611] 2
87822n (2 curves)	1	2+ 3- 7- 17+ 41+	2+ 3-  0 7- -4  0 17+  0
Curve Equation t Generators 87822n1 [1,-1,0,-882,0] 2 [-21:105:1] 87822n2 [1,-1,0,3528,-2646] 2 [21:273:1]
87822o (4 curves)	1	2+ 3- 7- 17+ 41+	2+ 3-  2 7-  4 -2 17+  0
Curve Equation t Generators 87822o1 [1,-1,0,-499589181,3512597508805] 2 [3776395:498000832:125] 87822o2 [1,-1,0,-7580426301,254022701642437] 4 [17383057822382:2618257165893929:487443403] 87822o3 [1,-1,0,-7168920381,282824412489157] 2 [1000929787496987055972968366943:139907509761829371883014868360361:16292728950314281690711247] 87822o4 [1,-1,0,-121285326141,16257782685302725] 2 [1181506522122493744855125:-7691676795270857086582360:5830726772667151909]
87822p (4 curves)	1	2+ 3- 7- 17+ 41+	2+ 3- -2 7-  4 -6 17+  4
Curve Equation t Generators 87822p1 [1,-1,0,-462168,120011584] 2 [245:4508:1] 87822p2 [1,-1,0,-7377048,7713932800] 4 [1589:-2212:1] 87822p3 [1,-1,0,-7359408,7752645544] 2 [1421:12047:1] 87822p4 [1,-1,0,-118032768,493603199320] 2 [6279:-3997:1]
87822q (2 curves)	0	2+ 3- 7- 17+ 41-	2+ 3-  0 7- -2  6 17+  0
Curve Equation t 87822q1 [1,-1,0,-159237,79021525] 2 87822q2 [1,-1,0,-3904677,2965257589] 2
87822r (2 curves)	1	2+ 3- 7- 17- 41-	2+ 3-  0 7-  4  2 17-  4
Curve Equation t Generators 87822r1 [1,-1,0,-252,-2660] 2 [262:1093:8] 87822r2 [1,-1,0,-4842,-128426] 2 [838:5269:8]
87822s (2 curves)	1	2+ 3- 7- 17- 41-	2+ 3-  0 7- -4  2 17- -4
Curve Equation t Generators 87822s1 [1,-1,0,50868,-27822128] 2 [299:3599:1] 87822s2 [1,-1,0,-1124172,-435090992] 2 [-567:4732:1]
87822t (1 curve)	1	2+ 3- 7- 17- 41-	2+ 3- -2 7-  3  6 17- -7
Curve Equation t Generators 87822t1 [1,-1,0,639837,8436501] 1 [699:27879:1]
87822u (1 curve)	1	2+ 3- 7- 17- 41-	2+ 3-  3 7-  5 -1 17- -4
Curve Equation t Generators 87822u1 [1,-1,0,-30303,2037973] 1 [101:-46:1]
87822v (2 curves)	1	2+ 3- 7- 17- 41-	2+ 3- -3 7-  0 -1 17-  2
Curve Equation t Generators 87822v1 [1,-1,0,13824,-63700992] 1 [9216:880128:1] 87822v2 [1,-1,0,-124416,1720009728] 3 [288:-41472:1]
87822w (2 curves)	2	2- 3+ 7- 17- 41+	2- 3+ -3 7- -3 -1 17- -4
Curve Equation t Generators 87822w1 [1,-1,1,-23924,1461719] 3 [-177:445:1]&[-143:1465:1] 87822w2 [1,-1,1,104596,6016087] 1 [153755:-5659541:125]&[2006:54397:8]
87822x (2 curves)	1	2- 3- 7+ 17+ 41+	2- 3-  0 7+  4  0 17+  6
Curve Equation t Generators 87822x1 [1,-1,1,-327605,71838029] 2 [27:7924:1] 87822x2 [1,-1,1,-534965,-29934259] 2 [-101:4852:1]
87822y (1 curve)	1	2- 3- 7+ 17+ 41+	2- 3- -1 7+ -3 -5 17+ -4
Curve Equation t Generators 87822y1 [1,-1,1,-5423,-510415] 1 [35754:362741:216]
87822z (2 curves)	1	2- 3- 7+ 17+ 41+	2- 3-  2 7+  2  4 17+ -8
Curve Equation t Generators 87822z1 [1,-1,1,29956,-5096257] 2 [189:2605:1] 87822z2 [1,-1,1,-324284,-62908225] 2 [1173:33613:1]
87822ba (1 curve)	1	2- 3- 7+ 17+ 41+	2- 3-  2 7+  3 -6 17+  3
Curve Equation t Generators 87822ba1 [1,-1,1,-870179,328089291] 1 [-115:20712:1]
87822bb (2 curves)	1	2- 3- 7+ 17+ 41+	2- 3-  2 7+ -6  4 17+  8
Curve Equation t Generators 87822bb1 [1,-1,1,-119534,15946733] 2 [-153:5611:1] 87822bb2 [1,-1,1,-1912874,1018782461] 2 [1305:26617:1]
87822bc (1 curve)	0	2- 3- 7+ 17+ 41-	2- 3-  1 7+  0  7 17+  2
Curve Equation t 87822bc1 [1,-1,1,-26357,1683393] 1
87822bd (1 curve)	0	2- 3- 7+ 17+ 41-	2- 3-  2 7+ -1 -2 17+ -3
Curve Equation t 87822bd1 [1,-1,1,121,8201] 1
87822be (2 curves)	0	2- 3- 7+ 17+ 41-	2- 3-  2 7+ -4  4 17+  0
Curve Equation t 87822be1 [1,-1,1,-10310099,12586941155] 2 87822be2 [1,-1,1,-1234319,33965848523] 2
87822bf (2 curves)	2	2- 3- 7+ 17- 41+	2- 3-  0 7+  0 -6 17- -6
Curve Equation t Generators 87822bf1 [1,-1,1,-10913135,13878985335] 2 [-3093:135846:1]&[1871:1818:1] 87822bf2 [1,-1,1,-10882895,13959701943] 2 [-89969:-161303514:1331]&[1589:25224:1]
87822bg (2 curves)	2	2- 3- 7+ 17- 41+	2- 3-  0 7+ -4 -6 17- -4
Curve Equation t Generators 87822bg1 [1,-1,1,-635,-2005] 2 [45:-266:1]&[-162:455:8] 87822bg2 [1,-1,1,-8195,-283237] 2 [-418:327:8]&[-51:34:1]
87822bh (1 curve)	2	2- 3- 7+ 17- 41+	2- 3- -3 7+ -3 -3 17-  0
Curve Equation t Generators 87822bh1 [1,-1,1,9616,29139] 1 [93:-1359:1]&[11:363:1]
87822bi (2 curves)	1	2- 3- 7+ 17- 41-	2- 3-  0 7+  4  4 17-  6
Curve Equation t Generators 87822bi1 [1,-1,1,-80105,2927913] 2 [-129:3396:1] 87822bi2 [1,-1,1,-715145,-230512791] 2 [-453:804:1]
87822bj (1 curve)	1	2- 3- 7+ 17- 41-	2- 3- -1 7+ -5 -5 17-  2
Curve Equation t Generators 87822bj1 [1,-1,1,-158,4853] 1 [-17:57:1]
87822bk (2 curves)	1	2- 3- 7+ 17- 41-	2- 3-  2 7+ -4  6 17- -2
Curve Equation t Generators 87822bk1 [1,-1,1,-217334,39036421] 2 [-127:8099:1] 87822bk2 [1,-1,1,-182054,52104133] 2 [-109:8459:1]
87822bl (1 curve)	1	2- 3- 7+ 17- 41-	2- 3- -3 7+ -3  1 17-  4
Curve Equation t Generators 87822bl1 [1,-1,1,-1206281309,-29211641025051] 1 [58703:10083336:1]
87822bm (2 curves)	1	2- 3- 7+ 17- 41-	2- 3- -4 7+  0  0 17-  2
Curve Equation t Generators 87822bm1 [1,-1,1,-14537,-650555] 2 [-61:110:1] 87822bm2 [1,-1,1,-230627,-42572015] 2 [-277090:131609:1000]
87822bn (4 curves)	1	2- 3- 7- 17+ 41-	2- 3-  0 7-  0  2 17+  2
Curve Equation t Generators 87822bn1 [1,-1,1,-36635,-2680729] 2 [-83745:10268:729] 87822bn2 [1,-1,1,-19625,-5191405] 2 [1338886980:-9638443331:5832000] 87822bn3 [1,-1,1,-194990,31102589] 6 [103:3427:1] 87822bn4 [1,-1,1,175450,135122141] 6 [859:29887:1]
87822bo (2 curves)	1	2- 3- 7- 17+ 41-	2- 3-  2 7-  0  4 17+ -6
Curve Equation t Generators 87822bo1 [1,-1,1,-1139,9555] 2 [5:60:1] 87822bo2 [1,-1,1,-16259,801843] 2 [77:6:1]
87822bp (2 curves)	1	2- 3- 7- 17+ 41-	2- 3- -2 7-  2  0 17+ -2
Curve Equation t Generators 87822bp1 [1,-1,1,-33896,4041451] 2 [19:1835:1] 87822bp2 [1,-1,1,-639056,196724395] 2 [511:1589:1]
87822bq (2 curves)	1	2- 3- 7- 17+ 41-	2- 3-  4 7- -4 -2 17+  0
Curve Equation t Generators 87822bq1 [1,-1,1,-38903,2954859] 2 [-81:2400:1] 87822bq2 [1,-1,1,-55913,131199] 2 [-98010:2207787:1000]
87822br (2 curves)	1	2- 3- 7- 17- 41+	2- 3-  0 7- -4  2 17-  8
Curve Equation t Generators 87822br1 [1,-1,1,-653315,203276675] 2 [411:1810:1] 87822br2 [1,-1,1,-10451075,13006989443] 2 [1869:-764:1]
87822bs (2 curves)	1	2- 3- 7- 17- 41+	2- 3-  2 7-  4 -4 17-  0
Curve Equation t Generators 87822bs1 [1,-1,1,-210614,-36906555] 2 [-255:539:1] 87822bs2 [1,-1,1,-74534,-84044667] 2 [3147:174041:1]
87822bt (2 curves)	1	2- 3- 7- 17- 41+	2- 3- -2 7-  0  2 17- -2
Curve Equation t Generators 87822bt1 [1,-1,1,-716,8331] 2 [-2:735:8] 87822bt2 [1,-1,1,-11786,495411] 2 [574:699:8]
87822bu (2 curves)	1	2- 3- 7- 17- 41+	2- 3- -2 7-  0  2 17-  6
Curve Equation t Generators 87822bu1 [1,-1,1,907114,-1262839899] 2 [2267:110403:1] 87822bu2 [1,-1,1,-13439606,-17503326939] 2 [4235:36897:1]
87822bv (4 curves)	0	2- 3- 7- 17- 41-	2- 3-  0 7-  0 -4 17-  2
Curve Equation t 87822bv1 [1,-1,1,-66393590,-57765292027] 2 87822bv2 [1,-1,1,-831668630,-9220862510971] 2 87822bv3 [1,-1,1,-3118931645,67042842679685] 6 87822bv4 [1,-1,1,-3238371005,61630663072133] 6
87822bw (2 curves)	0	2- 3- 7- 17- 41-	2- 3-  0 7-  0 -4 17- -6
Curve Equation t 87822bw1 [1,-1,1,-6890,218373] 2 87822bw2 [1,-1,1,-14180,-318171] 2
87822bx (2 curves)	0	2- 3- 7- 17- 41-	2- 3- -2 7-  2  4 17-  0
Curve Equation t 87822bx1 [1,-1,1,-6836,-1086969] 2 87822bx2 [1,-1,1,-206096,-35837913] 2
87822by (2 curves)	2	2- 3- 7- 17- 41-	2- 3- -2 7- -4 -6 17- -2
Curve Equation t Generators 87822by1 [1,-1,1,-28361,198217] 2 [-35:-1054:1]&[-994:11203:8] 87822by2 [1,-1,1,112759,1496521] 2 [637:-18526:1]&[197:5498:1]
87822bz (2 curves)	0	2- 3- 7- 17- 41-	2- 3-  3 7-  3 -1 17-  2
Curve Equation t 87822bz1 [1,-1,1,-445946,-123266887] 1 87822bz2 [1,-1,1,2687359,43208849] 3
87822ca (2 curves)	0	2- 3- 7- 17- 41-	2- 3-  4 7-  0  0 17-  2
Curve Equation t 87822ca1 [1,-1,1,-8348,251039] 2 87822ca2 [1,-1,1,-37508,-2548321] 2

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