Cremona's table of elliptic curves

120666 = 2 · 3 · 7 · 13² · 17

Class	r	Atkin-Lehner	Eigenvalues
120666a (1 curve)	1	2+ 3+ 7+ 13+ 17+	2+ 3+  1 7+ -5 13+ 17+ -4
Curve Equation t Generators 120666a1 [1,1,0,-54282972,155355463632] 1 [920562:7741535:216]
120666b (1 curve)	1	2+ 3+ 7+ 13+ 17+	2+ 3+ -1 7+  5 13+ 17+  4
Curve Equation t Generators 120666b1 [1,1,0,-4293,269001] 1 [1:514:1]
120666c (1 curve)	1	2+ 3+ 7+ 13+ 17+	2+ 3+ -2 7+  4 13+ 17+ -7
Curve Equation t Generators 120666c1 [1,1,0,-10481,-872139] 1 [3574:71473:8]
120666d (6 curves)	0	2+ 3+ 7+ 13+ 17-	2+ 3+  2 7+ -4 13+ 17- -4
Curve Equation t 120666d1 [1,1,0,-11871239,15718529013] 2 120666d2 [1,1,0,-15332359,5801035765] 4 120666d3 [1,1,0,59135801,45701075893] 2 120666d4 [1,1,0,-145178439,-668749349835] 4 120666d5 [1,1,0,-49450079,-1537369342803] 2 120666d6 [1,1,0,-2318444079,-42968757113667] 2
120666e (1 curve)	0	2+ 3+ 7+ 13+ 17-	2+ 3+ -3 7+  1 13+ 17-  6
Curve Equation t 120666e1 [1,1,0,166,-2634] 1
120666f (1 curve)	0	2+ 3+ 7+ 13+ 17-	2+ 3+ -4 7+  2 13+ 17- -7
Curve Equation t 120666f1 [1,1,0,164603,-51021875] 1
120666g (2 curves)	0	2+ 3+ 7+ 13- 17+	2+ 3+  0 7+  4 13- 17+ -4
Curve Equation t 120666g1 [1,1,0,-25055404780,-1526517201192368] 2 120666g2 [1,1,0,-25437858540,-1477510264802736] 2
120666h (2 curves)	2	2+ 3+ 7+ 13- 17+	2+ 3+  0 7+ -6 13- 17+  6
Curve Equation t Generators 120666h1 [1,1,0,-835,9469] 2 [15:-32:1]&[30:97:1] 120666h2 [1,1,0,-13575,603153] 2 [71:-95:1]&[-48:1095:1]
120666i (2 curves)	0	2+ 3+ 7+ 13- 17+	2+ 3+  2 7+ -4 13- 17+ -4
Curve Equation t 120666i1 [1,1,0,-12574,465652] 2 120666i2 [1,1,0,20706,2548980] 2
120666j (1 curve)	0	2+ 3+ 7+ 13- 17+	2+ 3+ -3 7+  6 13- 17+  6
Curve Equation t 120666j1 [1,1,0,-103454029,-405056423429] 1
120666k (2 curves)	1	2+ 3+ 7+ 13- 17-	2+ 3+  0 7+  0 13- 17-  4
Curve Equation t Generators 120666k1 [1,1,0,-476245,-60577811] 2 [-358149:9417682:1331] 120666k2 [1,1,0,-6452085,-6307720947] 2 [-1182363262465:-316121481814:817400375]
120666l (2 curves)	0	2+ 3+ 7- 13+ 17+	2+ 3+  0 7- -4 13+ 17+  0
Curve Equation t 120666l1 [1,1,0,-1458135,677088261] 2 120666l2 [1,1,0,-1400675,732973857] 2
120666m (1 curve)	0	2+ 3+ 7- 13+ 17+	2+ 3+  0 7-  6 13+ 17+ -5
Curve Equation t 120666m1 [1,1,0,-19888430,-83943679308] 1
120666n (1 curve)	0	2+ 3+ 7- 13+ 17+	2+ 3+  1 7-  4 13+ 17+  2
Curve Equation t 120666n1 [1,1,0,-1862,-1271148] 1
120666o (1 curve)	0	2+ 3+ 7- 13+ 17+	2+ 3+ -3 7- -1 13+ 17+ -6
Curve Equation t 120666o1 [1,1,0,-372479,-89820219] 1
120666p (4 curves)	1	2+ 3+ 7- 13+ 17-	2+ 3+  2 7-  0 13+ 17-  0
Curve Equation t Generators 120666p1 [1,1,0,166,221460] 2 [-35:435:1] 120666p2 [1,1,0,-53914,4710100] 4 [-177:3046:1] 120666p3 [1,1,0,-114754,-7956788] 2 [-89:1294:1] 120666p4 [1,1,0,-858354,305731548] 2 [1591:53707:1]
120666q (1 curve)	0	2+ 3- 7+ 13+ 17+	2+ 3-  1 7+  0 13+ 17+  6
Curve Equation t 120666q1 [1,0,1,-5621113,5163665210] 1
120666r (2 curves)	0	2+ 3- 7+ 13+ 17+	2+ 3- -2 7+ -2 13+ 17+ -8
Curve Equation t 120666r1 [1,0,1,-2694786462,-37310671692656] 2 120666r2 [1,0,1,7344976258,-249984973342960] 2
120666s (1 curve)	0	2+ 3- 7+ 13+ 17+	2+ 3- -2 7+ -4 13+ 17+ -3
Curve Equation t 120666s1 [1,0,1,-312147,1025348014] 1
120666t (3 curves)	0	2+ 3- 7+ 13+ 17+	2+ 3-  3 7+ -3 13+ 17+ -2
Curve Equation t 120666t1 [1,0,1,18248,25607558] 1 120666t2 [1,0,1,-164272,-692207098] 1 120666t3 [1,0,1,-64507642,-199430443522] 1
120666u (1 curve)	0	2+ 3- 7+ 13+ 17+	2+ 3-  4 7+ -2 13+ 17+ -5
Curve Equation t 120666u1 [1,0,1,-1885199,-1004404516] 1
120666v (2 curves)	0	2+ 3- 7+ 13+ 17+	2+ 3- -4 7+ -4 13+ 17+  0
Curve Equation t 120666v1 [1,0,1,-43268,-3366478] 2 120666v2 [1,0,1,14192,-11640718] 2
120666w (4 curves)	1	2+ 3- 7+ 13+ 17-	2+ 3- -2 7+ -4 13+ 17-  4
Curve Equation t Generators 120666w1 [1,0,1,-30762,953500] 2 [331016:7952341:512] 120666w2 [1,0,1,-247082,-46636900] 4 [-2378:7203:8] 120666w3 [1,0,1,-17242,-129930916] 2 [781:17861:1] 120666w4 [1,0,1,-3938042,-3008263204] 2 [-1882097758:908985885:1643032]
120666x (1 curve)	1	2+ 3- 7+ 13+ 17-	2+ 3-  3 7+  3 13+ 17-  0
Curve Equation t Generators 120666x1 [1,0,1,11326038,-5195463908] 1 [114960:9304177:27]
120666y (1 curve)	0	2+ 3- 7- 13+ 17-	2+ 3-  1 7-  5 13+ 17-  8
Curve Equation t 120666y1 [1,0,1,-214803,134163694] 1
120666z (4 curves)	0	2+ 3- 7- 13+ 17-	2+ 3-  2 7-  0 13+ 17- -8
Curve Equation t 120666z1 [1,0,1,52555,-1438864] 2 120666z2 [1,0,1,-221225,-11842504] 4 120666z3 [1,0,1,-2031215,1105283324] 2 120666z4 [1,0,1,-2791715,-1793706172] 2
120666ba (2 curves)	0	2+ 3- 7- 13+ 17-	2+ 3-  3 7-  3 13+ 17-  8
Curve Equation t 120666ba1 [1,0,1,-163763877,823012169488] 3 120666ba2 [1,0,1,698437788,3548204737378] 1
120666bb (1 curve)	0	2+ 3- 7- 13- 17+	2+ 3-  0 7-  4 13- 17+  7
Curve Equation t 120666bb1 [1,0,1,-608066,213185390] 1
120666bc (1 curve)	1	2+ 3- 7- 13- 17-	2+ 3-  0 7-  4 13- 17-  1
Curve Equation t Generators 120666bc1 [1,0,1,1149859,-186110728] 1 [222:8839:1]
120666bd (2 curves)	1	2+ 3- 7- 13- 17-	2+ 3-  0 7-  4 13- 17- -4
Curve Equation t Generators 120666bd1 [1,0,1,-25861,-1404388] 2 [-475290:2593207:5832] 120666bd2 [1,0,1,-399351,-97167224] 2 [-759607606422:321574435217:2087336952]
120666be (1 curve)	0	2- 3+ 7+ 13+ 17+	2- 3+  0 7+ -2 13+ 17+  5
Curve Equation t 120666be1 [1,1,1,-31614918,101988048963] 1
120666bf (1 curve)	0	2- 3+ 7+ 13+ 17+	2- 3+ -1 7+ -5 13+ 17+  6
Curve Equation t 120666bf1 [1,1,1,-2466981,-1496219925] 1
120666bg (2 curves)	0	2- 3+ 7+ 13+ 17+	2- 3+  2 7+ -2 13+ 17+  0
Curve Equation t 120666bg1 [1,1,1,-1890522,-933535101] 2 120666bg2 [1,1,1,1822408,-4147447309] 2
120666bh (1 curve)	1	2- 3+ 7+ 13+ 17-	2- 3+  0 7+  2 13+ 17- -5
Curve Equation t Generators 120666bh1 [1,1,1,-267953,55519823] 1 [863:21200:1]
120666bi (2 curves)	1	2- 3+ 7+ 13+ 17-	2- 3+  2 7+  2 13+ 17-  2
Curve Equation t Generators 120666bi1 [1,1,1,-3637,116891] 2 [-37:468:1] 120666bi2 [1,1,1,-64477,6273899] 2 [-151:3624:1]
120666bj (4 curves)	1	2- 3+ 7+ 13+ 17-	2- 3+  2 7+ -4 13+ 17- -4
Curve Equation t Generators 120666bj1 [1,1,1,-1204382,-287664421] 4 [-7557:145613:27] 120666bj2 [1,1,1,-16833502,-26582095909] 4 [43458377:2365803897:6859] 120666bj3 [1,1,1,-14420182,-34468825669] 2 [398932160025:22053422154793:63521199] 120666bj4 [1,1,1,-269312742,-1701226398981] 2 [860291752115921:-148518850654517951:22689222191]
120666bk (4 curves)	1	2- 3+ 7+ 13+ 17-	2- 3+ -2 7+  4 13+ 17-  4
Curve Equation t Generators 120666bk1 [1,1,1,-19243949,-30102132013] 4 [-8801279990:-8203408177:2863288] 120666bk2 [1,1,1,-301544929,-2015581384549] 4 [-856178262290315288994:375990878753805253837:85217690840675112] 120666bk3 [1,1,1,-295195599,-2104510100529] 2 [2984796174384288195626428982687356218496120288:6183046755194981315276512549075654644136137938045:695220406301206226160897762166627336192] 120666bk4 [1,1,1,-4824709939,-128991678811273] 2 [-21695575699437110922712260194572757065273698:10847059943105961532973863442557073368550317:540992959978989923323850782120591378728]
120666bl (1 curve)	1	2- 3+ 7- 13+ 17+	2- 3+  1 7- -5 13+ 17+ -4
Curve Equation t Generators 120666bl1 [1,1,1,-725605,594623063] 1 [-1109:6630:1]
120666bm (1 curve)	1	2- 3+ 7- 13+ 17+	2- 3+ -1 7-  5 13+ 17+  4
Curve Equation t Generators 120666bm1 [1,1,1,-321201,70589007] 1 [1215:37808:1]
120666bn (2 curves)	1	2- 3+ 7- 13+ 17+	2- 3+  2 7-  2 13+ 17+  8
Curve Equation t Generators 120666bn1 [1,1,1,-20537,605639] 2 [-21:1024:1] 120666bn2 [1,1,1,67343,4507511] 2 [145:4092:1]
120666bo (1 curve)	1	2- 3+ 7- 13+ 17+	2- 3+  2 7- -4 13+ 17+  7
Curve Equation t Generators 120666bo1 [1,1,1,-62,-421] 1 [21:79:1]
120666bp (2 curves)	1	2- 3+ 7- 13+ 17+	2- 3+ -2 7-  6 13+ 17+  2
Curve Equation t Generators 120666bp1 [1,1,1,-563534,182839691] 2 [417:-4745:1] 120666bp2 [1,1,1,-9324494,10955316107] 2 [1965:-15977:1]
120666bq (1 curve)	0	2- 3+ 7- 13+ 17-	2- 3+ -1 7- -3 13+ 17- -6
Curve Equation t 120666bq1 [1,1,1,-6341,-203533] 1
120666br (2 curves)	0	2- 3+ 7- 13- 17+	2- 3+  0 7- -4 13- 17+  4
Curve Equation t 120666br1 [1,1,1,-148256833,-694875957313] 2 120666br2 [1,1,1,-150519873,-672570529857] 2
120666bs (2 curves)	0	2- 3+ 7- 13- 17+	2- 3+  0 7-  6 13- 17+ -6
Curve Equation t 120666bs1 [1,1,1,-141203,21509249] 2 120666bs2 [1,1,1,-2294263,1336598297] 2
120666bt (2 curves)	0	2- 3+ 7- 13- 17+	2- 3+ -2 7-  4 13- 17+  4
Curve Equation t 120666bt1 [1,1,1,-2125094,1033662755] 2 120666bt2 [1,1,1,3499226,5582612771] 2
120666bu (1 curve)	0	2- 3+ 7- 13- 17+	2- 3+  3 7- -6 13- 17+ -6
Curve Equation t 120666bu1 [1,1,1,-612154,-184603411] 1
120666bv (2 curves)	1	2- 3+ 7- 13- 17-	2- 3+  0 7-  0 13- 17- -4
Curve Equation t Generators 120666bv1 [1,1,1,-2818,-28657] 2 [-47:75:1] 120666bv2 [1,1,1,-38178,-2885745] 2 [-115:75:1]
120666bw (2 curves)	1	2- 3- 7+ 13+ 17+	2- 3-  0 7+  6 13+ 17+  1
Curve Equation t Generators 120666bw1 [1,0,0,6672,42210] 1 [1542:22551:8] 120666bw2 [1,0,0,-82053,-10111479] 1 [13169798:1601123:39304]
120666bx (2 curves)	1	2- 3- 7+ 13+ 17+	2- 3-  2 7+  2 13+ 17+ -8
Curve Equation t Generators 120666bx1 [1,0,0,-2204500477,39839272938737] 2 [28978:524959:1] 120666bx2 [1,0,0,-2203094397,39892631706225] 2 [778350:-16123075:27]
120666by (4 curves)	1	2- 3- 7+ 13+ 17+	2- 3-  2 7+ -4 13+ 17+  4
Curve Equation t Generators 120666by1 [1,0,0,-8707,-619087] 2 [255124:15976279:64] 120666by2 [1,0,0,-174327,-28012635] 4 [26816451530:438806687315:42508549] 120666by3 [1,0,0,-209817,-15796977] 2 [572281420225687168006:-9726487685283899345573:895668506060609672] 120666by4 [1,0,0,-2788757,-1792752885] 2 [3703346353117645908:-216727385165151265019:893724219100224]
120666bz (2 curves)	1	2- 3- 7+ 13+ 17+	2- 3-  3 7+  0 13+ 17+ -2
Curve Equation t Generators 120666bz1 [1,0,0,17433276,39152599056] 1 [41640:8521116:1] 120666bz2 [1,0,0,-166752219,-1489880104623] 1 [42654:8285361:1]
120666ca (1 curve)	2	2- 3- 7+ 13+ 17-	2- 3- -1 7+ -5 13+ 17- -8
Curve Equation t Generators 120666ca1 [1,0,0,-1271,60969] 1 [-50:37:1]&[40:253:1]
120666cb (2 curves)	2	2- 3- 7+ 13+ 17-	2- 3- -3 7+ -3 13+ 17- -8
Curve Equation t Generators 120666cb1 [1,0,0,-969017,374532729] 1 [442:5491:1]&[-986:19771:1] 120666cb2 [1,0,0,4132768,1615340544] 1 [-320:16288:1]&[-128:32992:1]
120666cc (1 curve)	0	2- 3- 7+ 13- 17+	2- 3-  0 7+ -4 13- 17+ -7
Curve Equation t 120666cc1 [1,0,0,-3598,96758] 1
120666cd (1 curve)	1	2- 3- 7+ 13- 17-	2- 3-  0 7+ -4 13- 17- -1
Curve Equation t Generators 120666cd1 [1,0,0,194326252,-409079595120] 1 [28744:5363884:1]
120666ce (2 curves)	1	2- 3- 7+ 13- 17-	2- 3-  0 7+ -4 13- 17-  4
Curve Equation t Generators 120666ce1 [1,0,0,-153,-651] 2 [-1974:1463:216] 120666ce2 [1,0,0,-2363,-44409] 2 [948680:40350353:512]
120666cf (1 curve)	0	2- 3- 7- 13+ 17+	2- 3- -1 7-  4 13+ 17+ -6
Curve Equation t 120666cf1 [1,0,0,97594,2121924] 1
120666cg (1 curve)	0	2- 3- 7- 13+ 17+	2- 3-  2 7-  4 13+ 17+  3
Curve Equation t 120666cg1 [1,0,0,-52752762,2252742340068] 1
120666ch (2 curves)	1	2- 3- 7- 13+ 17-	2- 3-  0 7- -4 13+ 17- -8
Curve Equation t Generators 120666ch1 [1,0,0,-33353928,-73922507712] 2 [-3288:15840:1] 120666ch2 [1,0,0,-18644168,-139489791936] 2 [11896:-1155824:1]
120666ci (4 curves)	1	2- 3- 7- 13+ 17-	2- 3-  2 7-  0 13+ 17-  4
Curve Equation t Generators 120666ci1 [1,0,0,-147287,21744345] 2 [-428:2749:1] 120666ci2 [1,0,0,-150667,20693165] 4 [1342:2389:8] 120666ci3 [1,0,0,168743,96776627] 2 [228478:38501941:8] 120666ci4 [1,0,0,-524157,-122652297] 2 [-2202:8199:8]
120666cj (1 curve)	1	2- 3- 7- 13+ 17-	2- 3- -3 7-  0 13+ 17- -6
Curve Equation t Generators 120666cj1 [1,0,0,2278,-115974] 1 [710:6743:8]
120666ck (1 curve)	1	2- 3- 7- 13+ 17-	2- 3- -3 7- -3 13+ 17-  0
Curve Equation t Generators 120666ck1 [1,0,0,67018,-2359644] 1 [420:-10206:1]

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