Cremona's table of elliptic curves

110110 = 2 · 5 · 7 · 11² · 13

Class	r	Atkin-Lehner	Eigenvalues
110110a (2 curves)	1	2+ 5+ 7+ 11+ 13+	2+  0 5+ 7+ 11+ 13+ -2 -6
Curve Equation t Generators 110110a1 [1,-1,0,-2032520,6280435200] 2 [536:72840:1] 110110a2 [1,-1,0,-65015440,201011027256] 2 [1758421:-17754290:343]
110110b (1 curve)	1	2+ 5+ 7+ 11+ 13+	2+ -1 5+ 7+ 11+ 13+  0  4
Curve Equation t Generators 110110b1 [1,1,0,-144718,-23008762] 1 [242435950:10334503103:125000]
110110c (2 curves)	1	2+ 5+ 7+ 11+ 13+	2+  2 5+ 7+ 11+ 13+ -6  4
Curve Equation t Generators 110110c1 [1,1,0,-121453,-16342707] 2 [1969338:43835931:2744] 110110c2 [1,1,0,-1943273,-1043484823] 2 [6226:474637:1]
110110d (1 curve)	1	2+ 5+ 7+ 11+ 13+	2+  3 5+ 7+ 11+ 13+  8 -4
Curve Equation t Generators 110110d1 [1,-1,0,-9070,336980] 1 [1137:3980:27]
110110e (1 curve)	0	2+ 5+ 7+ 11+ 13-	2+ -1 5+ 7+ 11+ 13- -4  8
Curve Equation t 110110e1 [1,1,0,-154563,44518093] 1
110110f (2 curves)	0	2+ 5+ 7+ 11+ 13-	2+  2 5+ 7+ 11+ 13-  2  2
Curve Equation t 110110f1 [1,1,0,-948,-11392] 2 110110f2 [1,1,0,152,-34932] 2
110110g (1 curve)	0	2+ 5+ 7+ 11- 13+	2+  0 5+ 7+ 11- 13+  0  4
Curve Equation t 110110g1 [1,-1,0,43840,-692224] 1
110110h (2 curves)	0	2+ 5+ 7+ 11- 13+	2+  2 5+ 7+ 11- 13+  0  2
Curve Equation t 110110h1 [1,1,0,-728,-2548] 2 110110h2 [1,1,0,-9198,-343042] 2
110110i (6 curves)	0	2+ 5+ 7+ 11- 13+	2+ -2 5+ 7+ 11- 13+  0 -2
Curve Equation t 110110i1 [1,0,1,-144719,-21121278] 2 110110i2 [1,0,1,-2313039,-1354204414] 2 110110i3 [1,0,1,-802959,261116546] 2 110110i4 [1,0,1,-2463079,-1168578798] 2 110110i5 [1,0,1,-64006099,197091726522] 2 110110i6 [1,0,1,-64014569,197036952726] 2
110110j (4 curves)	0	2+ 5+ 7+ 11- 13+	2+ -2 5+ 7+ 11- 13+ -6 -8
Curve Equation t 110110j1 [1,0,1,-323194,-21354324] 2 110110j2 [1,0,1,1225606,-166322004] 2 110110j3 [1,0,1,-14920634,22181653932] 2 110110j4 [1,0,1,-14315634,24062961932] 2
110110k (1 curve)	1	2+ 5+ 7+ 11- 13-	2+ -1 5+ 7+ 11- 13- -2  6
Curve Equation t Generators 110110k1 [1,1,0,-23718,-7877228] 1 [256917:24931309:27]
110110l (2 curves)	2	2+ 5+ 7- 11+ 13+	2+ -2 5+ 7- 11+ 13+ -6 -8
Curve Equation t Generators 110110l1 [1,0,1,-7164,569402] 2 [58:-621:1]&[-47:919:1] 110110l2 [1,0,1,-155884,23650746] 2 [241:-429:1]&[-410:4527:1]
110110m (2 curves)	1	2+ 5+ 7- 11- 13+	2+  0 5+ 7- 11- 13+  2 -6
Curve Equation t Generators 110110m1 [1,-1,0,2095,1900685] 2 [-107:719:1] 110110m2 [1,-1,0,-218125,38413161] 2 [223:796:1]
110110n (2 curves)	1	2+ 5+ 7- 11- 13+	2+  0 5+ 7- 11- 13+ -4  0
Curve Equation t Generators 110110n1 [1,-1,0,-265315,-1416662175] 2 [1895:68930:1] 110110n2 [1,-1,0,-20601785,-35626672009] 2 [-2725:17879:1]
110110o (1 curve)	1	2+ 5+ 7- 11- 13+	2+  0 5+ 7- 11- 13+ -4  0
Curve Equation t Generators 110110o1 [1,-1,0,26470778845,1273362805858325] 1 [230110176252744319144100358453832816532275124879115612684734923204094083030537020368966525445878357102640533104350119424467204318583194716804:2295996655443582269221007539954144352104378949437841992203834302422224329156526562227508344653607590324790013405141854584305276091710511797491921:2311120580816735240224696651604957555469295010979558331733313732508370025600249222682454037720650557447829502493182678125779147902784]
110110p (2 curves)	1	2+ 5+ 7- 11- 13+	2+  0 5+ 7- 11- 13+  8  0
Curve Equation t Generators 110110p1 [1,-1,0,-4101620,-2941420080] 2 [-80373696099857:-1078621004609398:74991286313] 110110p2 [1,-1,0,4571660,-13729245744] 2 [88075419698060019491905883:-8267108598075223285820224558:10526135433213005934749]
110110q (2 curves)	1	2+ 5+ 7- 11- 13+	2+  2 5+ 7- 11- 13+  2  6
Curve Equation t Generators 110110q1 [1,1,0,-24068233,534895354437] 2 [-468291822:19147916787:54872] 110110q2 [1,1,0,-1146309353,14834267257253] 2 [573062482662:-355371549925727:1481544]
110110r (2 curves)	1	2+ 5+ 7- 11- 13+	2+ -2 5+ 7- 11- 13+ -2  6
Curve Equation t Generators 110110r1 [1,0,1,14396,-1211454] 2 [164:2277:1] 110110r2 [1,0,1,-121124,-13570878] 2 [-254:1034:1]
110110s (1 curve)	1	2+ 5+ 7- 11- 13+	2+  3 5+ 7- 11- 13+  2 -6
Curve Equation t Generators 110110s1 [1,-1,0,-2387050,1421232500] 1 [1379217:310888840:27]
110110t (1 curve)	1	2+ 5+ 7- 11- 13+	2+ -3 5+ 7- 11- 13+  2  6
Curve Equation t Generators 110110t1 [1,-1,0,-3955,-96299] 1 [73:-34:1]
110110u (4 curves)	0	2+ 5+ 7- 11- 13-	2+  0 5+ 7- 11- 13- -6  8
Curve Equation t 110110u1 [1,-1,0,-63245,6137621] 2 110110u2 [1,-1,0,-65665,5644425] 4 110110u3 [1,-1,0,107365,30249291] 2 110110u4 [1,-1,0,-277415,-50554025] 2
110110v (1 curve)	2	2+ 5+ 7- 11- 13-	2+ -1 5+ 7- 11- 13-  1 -2
Curve Equation t Generators 110110v1 [1,1,0,-86033,9520273] 1 [204:613:1]&[-264:3863:1]
110110w (4 curves)	1	2+ 5- 7+ 11- 13+	2+  0 5- 7+ 11- 13+ -2  0
Curve Equation t Generators 110110w1 [1,-1,0,15526,949988] 2 [223:3821:1] 110110w2 [1,-1,0,-103054,9653760] 4 [-239:4657:1] 110110w3 [1,-1,0,-568904,-157027370] 2 [-11535:81695:27] 110110w4 [1,-1,0,-1534484,731953338] 2 [-943:37074:1]
110110x (4 curves)	1	2+ 5- 7+ 11- 13+	2+ -2 5- 7+ 11- 13+  6  4
Curve Equation t Generators 110110x1 [1,0,1,-264993,47517908] 2 [-276:10120:1] 110110x2 [1,0,1,340007,233131908] 2 [1814:81675:1] 110110x3 [1,0,1,-20895493,36762620508] 2 [2144:41580:1] 110110x4 [1,0,1,-20889443,36784974048] 2 [57954:1128314:27]
110110y (2 curves)	0	2+ 5- 7+ 11- 13-	2+  0 5- 7+ 11- 13-  0  8
Curve Equation t 110110y1 [1,-1,0,-217399,-213667107] 2 110110y2 [1,-1,0,-6857879,-6884693315] 2
110110z (1 curve)	0	2+ 5- 7+ 11- 13-	2+ -1 5- 7+ 11- 13- -3  2
Curve Equation t 110110z1 [1,1,0,-689097,-205551419] 1
110110ba (1 curve)	2	2+ 5- 7+ 11- 13-	2+ -1 5- 7+ 11- 13- -5  4
Curve Equation t Generators 110110ba1 [1,1,0,-1267,-931] 1 [-35:63:1]&[-22:141:1]
110110bb (1 curve)	0	2+ 5- 7+ 11- 13-	2+  2 5- 7+ 11- 13-  0  2
Curve Equation t 110110bb1 [1,1,0,-14609542,-21761465106] 1
110110bc (2 curves)	0	2+ 5- 7+ 11- 13-	2+  2 5- 7+ 11- 13- -2  4
Curve Equation t 110110bc1 [1,1,0,-50164743862,-4324621351448064] 2 110110bc2 [1,1,0,-50070212612,-4341731715666814] 2
110110bd (2 curves)	0	2+ 5- 7+ 11- 13-	2+  2 5- 7+ 11- 13- -2 -6
Curve Equation t 110110bd1 [1,1,0,-554787,181788941] 2 110110bd2 [1,1,0,-9228067,10785741069] 2
110110be (1 curve)	0	2+ 5- 7+ 11- 13-	2+  2 5- 7+ 11- 13-  4  6
Curve Equation t 110110be1 [1,1,0,-2807,-65611] 1
110110bf (2 curves)	1	2+ 5- 7- 11+ 13+	2+ -2 5- 7- 11+ 13+  6  2
Curve Equation t Generators 110110bf1 [1,0,1,1520362,-619025112] 2 [1704:-84040:1] 110110bf2 [1,0,1,-8169318,-5680913944] 2 [-2410:4532:1]
110110bg (2 curves)	0	2+ 5- 7- 11- 13+	2+  0 5- 7- 11- 13+  2  6
Curve Equation t 110110bg1 [1,-1,0,-55259,-6064987] 2 110110bg2 [1,-1,0,-936139,-348374955] 2
110110bh (1 curve)	0	2+ 5- 7- 11- 13+	2+ -1 5- 7- 11- 13+  3  2
Curve Equation t 110110bh1 [1,1,0,-4474838942,-114884646709004] 1
110110bi (1 curve)	0	2+ 5- 7- 11- 13+	2+ -1 5- 7- 11- 13+  6  2
Curve Equation t 110110bi1 [1,1,0,-2,6406] 1
110110bj (1 curve)	0	2+ 5- 7- 11- 13+	2+ -2 5- 7- 11- 13+  1 -5
Curve Equation t 110110bj1 [1,0,1,-23598,-1430464] 1
110110bk (1 curve)	0	2+ 5- 7- 11- 13+	2+ -2 5- 7- 11- 13+ -1 -1
Curve Equation t 110110bk1 [1,0,1,72981752,-449958797994] 1
110110bl (2 curves)	1	2+ 5- 7- 11- 13-	2+ -2 5- 7- 11- 13-  0  6
Curve Equation t Generators 110110bl1 [1,0,1,-138548,-16143822] 2 [-166:1595:1] 110110bl2 [1,0,1,-680628,201555506] 2 [-320:19822:1]
110110bm (1 curve)	1	2+ 5- 7- 11- 13-	2+ -2 5- 7- 11- 13-  7 -3
Curve Equation t Generators 110110bm1 [1,0,1,8742,-494452] 1 [52:292:1]
110110bn (2 curves)	1	2- 5+ 7+ 11+ 13-	2- -2 5+ 7+ 11+ 13-  6  8
Curve Equation t Generators 110110bn1 [1,0,0,-866786,-758741180] 2 [1454:31760:1] 110110bn2 [1,0,0,-18861906,-31498005164] 2 [454530:-57003712:27]
110110bo (2 curves)	1	2- 5+ 7+ 11- 13+	2-  1 5+ 7+ 11- 13+  6 -2
Curve Equation t Generators 110110bo1 [1,0,0,784,-55450] 1 [55284142:625193319:405224] 110110bo2 [1,0,0,-7081,1528561] 1 [1236:42757:1]
110110bp (2 curves)	1	2- 5+ 7+ 11- 13+	2-  1 5+ 7+ 11- 13+  6 -2
Curve Equation t Generators 110110bp1 [1,0,0,-4661,-1977535] 1 [1814:76291:1] 110110bp2 [1,0,0,41924,53207056] 1 [120:-7804:1]
110110bq (1 curve)	1	2- 5+ 7+ 11- 13+	2- -1 5+ 7+ 11- 13+ -1  2
Curve Equation t Generators 110110bq1 [1,1,1,-10410056,-12723533547] 1 [-1040248:3962363:512]
110110br (2 curves)	1	2- 5+ 7+ 11- 13+	2-  2 5+ 7+ 11- 13+ -4  2
Curve Equation t Generators 110110br1 [1,1,1,-28861,-1405997] 2 [367:5948:1] 110110br2 [1,1,1,-164381,24451219] 2 [149:1740:1]
110110bs (4 curves)	1	2- 5+ 7+ 11- 13+	2- -2 5+ 7+ 11- 13+  0 -2
Curve Equation t Generators 110110bs1 [1,0,0,-292048446,-1920801114044] 2 [-296359132:338631630:29791] 110110bs2 [1,0,0,-318610366,-1550575760700] 2 [-14444:202274:1] 110110bs3 [1,0,0,-675862261,4046019389985] 2 [2386:1563095:1] 110110bs4 [1,0,0,-9557300981,359532709308961] 2 [15586:14633207:1]
110110bt (4 curves)	1	2- 5+ 7+ 11- 13+	2- -2 5+ 7+ 11- 13+  0 -2
Curve Equation t Generators 110110bt1 [1,0,0,-28256,-1828100] 2 [3484:203666:1] 110110bt2 [1,0,0,-36726,-643994] 2 [-162:2501:8] 110110bt3 [1,0,0,-114771,13173601] 2 [98:1645:1] 110110bt4 [1,0,0,-1774891,909970425] 2 [428:14911:1]
110110bu (4 curves)	0	2- 5+ 7+ 11- 13-	2-  0 5+ 7+ 11- 13- -2  4
Curve Equation t 110110bu1 [1,-1,1,-242023,-41865953] 2 110110bu2 [1,-1,1,-861543,261203231] 4 110110bu3 [1,-1,1,1558457,1462491231] 2 110110bu4 [1,-1,1,-13193863,18448908767] 2
110110bv (4 curves)	0	2- 5+ 7+ 11- 13-	2-  0 5+ 7+ 11- 13- -2 -4
Curve Equation t 110110bv1 [1,-1,1,-971653,-368407443] 2 110110bv2 [1,-1,1,-974073,-366478219] 4 110110bv3 [1,-1,1,-242023,-904974199] 2 110110bv4 [1,-1,1,-1744843,295459057] 2
110110bw (1 curve)	0	2- 5+ 7+ 11- 13-	2-  0 5+ 7+ 11- 13-  4  0
Curve Equation t 110110bw1 [1,-1,1,218766767,-956755986623] 1
110110bx (1 curve)	1	2- 5+ 7- 11+ 13+	2- -1 5+ 7- 11+ 13+  4 -8
Curve Equation t Generators 110110bx1 [1,1,1,-18702186,-59347092617] 1 [5737:146203:1]
110110by (2 curves)	1	2- 5+ 7- 11+ 13+	2-  2 5+ 7- 11+ 13+ -2 -2
Curve Equation t Generators 110110by1 [1,1,1,-114771,14588993] 2 [81:2374:1] 110110by2 [1,1,1,18329,46586233] 2 [10173:274396:27]
110110bz (2 curves)	0	2- 5+ 7- 11+ 13-	2-  0 5+ 7- 11+ 13-  2  6
Curve Equation t 110110bz1 [1,-1,1,-16798,-4714003] 2 110110bz2 [1,-1,1,-537318,-150876019] 2
110110ca (1 curve)	0	2- 5+ 7- 11+ 13-	2- -1 5+ 7- 11+ 13-  0 -4
Curve Equation t 110110ca1 [1,1,1,-1196,16743] 1
110110cb (2 curves)	0	2- 5+ 7- 11+ 13-	2-  2 5+ 7- 11+ 13-  6 -4
Curve Equation t 110110cb1 [1,1,1,-14695876,21678663733] 2 110110cb2 [1,1,1,-235136096,1387702619029] 2
110110cc (1 curve)	0	2- 5+ 7- 11+ 13-	2-  3 5+ 7- 11+ 13- -8  4
Curve Equation t 110110cc1 [1,-1,1,-1097493,-445227923] 1
110110cd (2 curves)	0	2- 5+ 7- 11- 13+	2-  2 5+ 7- 11- 13+  6 -4
Curve Equation t 110110cd1 [1,1,1,-117191,-15322691] 2 110110cd2 [1,1,1,-20391,-39755011] 2
110110ce (1 curve)	1	2- 5+ 7- 11- 13-	2-  0 5+ 7- 11- 13-  0 -4
Curve Equation t Generators 110110ce1 [1,-1,1,362,421] 1 [1:27:1]
110110cf (4 curves)	1	2- 5+ 7- 11- 13-	2-  0 5+ 7- 11- 13-  6 -4
Curve Equation t Generators 110110cf1 [1,-1,1,-407188,83928551] 2 [-37:9965:1] 110110cf2 [1,-1,1,-6217608,5968721927] 4 [1657:13787:1] 110110cf3 [1,-1,1,-5921158,6563282047] 2 [89108:1996173:64] 110110cf4 [1,-1,1,-99480778,381931212831] 2 [33645582:-8860393:5832]
110110cg (2 curves)	2	2- 5- 7+ 11+ 13-	2- -2 5- 7+ 11+ 13- -6 -2
Curve Equation t Generators 110110cg1 [1,0,0,12565,466225] 2 [70:-1335:1]&[-20:465:1] 110110cg2 [1,0,0,-67515,4262017] 2 [-276:1513:1]&[-56:2833:1]
110110ch (3 curves)	0	2- 5- 7+ 11- 13+	2-  1 5- 7+ 11- 13+ -6 -2
Curve Equation t 110110ch1 [1,0,0,-69992150,-244395377500] 1 110110ch2 [1,0,0,431023475,224201700625] 1 110110ch3 [1,0,0,-6110886900,194995797894800] 1
110110ci (3 curves)	0	2- 5- 7+ 11- 13+	2-  1 5- 7+ 11- 13+ -6 -2
Curve Equation t 110110ci1 [1,0,0,-72139295,-235839766975] 1 110110ci2 [1,0,0,-66618670,-273448639100] 1 110110ci3 [1,0,0,513385755,2981490333185] 1
110110cj (1 curve)	0	2- 5- 7+ 11- 13+	2- -2 5- 7+ 11- 13+ -7  3
Curve Equation t 110110cj1 [1,0,0,1057840,659173120] 1
110110ck (2 curves)	1	2- 5- 7+ 11- 13-	2-  0 5- 7+ 11- 13-  0 -8
Curve Equation t Generators 110110ck1 [1,-1,1,6753,-20281] 2 [17:306:1] 110110ck2 [1,-1,1,-27127,-142249] 2 [-19:614:1]
110110cl (2 curves)	1	2- 5- 7+ 11- 13-	2-  0 5- 7+ 11- 13-  4  4
Curve Equation t Generators 110110cl1 [1,-1,1,-3532,73131] 2 [-42:2437:8] 110110cl2 [1,-1,1,4938,364499] 2 [406:6693:8]
110110cm (4 curves)	1	2- 5- 7+ 11- 13-	2-  0 5- 7+ 11- 13- -6  4
Curve Equation t Generators 110110cm1 [1,-1,1,155393138,-329405823811171] 4 [6153036324047:687168742162597:84604519] 110110cm2 [1,-1,1,-70621049742,-7098294957391459] 4 [34683669953399795:62580777050215768561:10575564875] 110110cm3 [1,-1,1,-149177928142,11558586589592221] 2 [2357159285373378978716573255:4241581720992716540553788133879:717735933376548905125] 110110cm4 [1,-1,1,-1124487257422,-458964930370828131] 2 [226434453667249509267705838314495:390378764307606006081899012956332571:67582444734660068126663625]
110110cn (1 curve)	1	2- 5- 7+ 11- 13-	2- -1 5- 7+ 11- 13- -3 -2
Curve Equation t Generators 110110cn1 [1,1,1,-36982140,86297725405] 1 [3053:41593:1]
110110co (1 curve)	1	2- 5- 7+ 11- 13-	2- -2 5- 7+ 11- 13-  1  1
Curve Equation t Generators 110110co1 [1,0,0,603155,338115537] 1 [1474:65823:1]
110110cp (1 curve)	1	2- 5- 7+ 11- 13-	2- -2 5- 7+ 11- 13- -1  5
Curve Equation t Generators 110110cp1 [1,0,0,-195,1057] 1 [2:25:1]
110110cq (1 curve)	1	2- 5- 7- 11- 13+	2- -1 5- 7- 11- 13+  3 -2
Curve Equation t Generators 110110cq1 [1,1,1,-5695,151845] 1 [-37:578:1]
110110cr (1 curve)	1	2- 5- 7- 11- 13+	2- -1 5- 7- 11- 13+  5 -4
Curve Equation t Generators 110110cr1 [1,1,1,-153370,472407] 1 [-313:4391:1]
110110cs (1 curve)	1	2- 5- 7- 11- 13+	2-  2 5- 7- 11- 13+  0 -2
Curve Equation t Generators 110110cs1 [1,1,1,-1767754645,28955671282957] 1 [1733428:61392899:64]
110110ct (2 curves)	1	2- 5- 7- 11- 13+	2-  2 5- 7- 11- 13+  2  0
Curve Equation t Generators 110110ct1 [1,1,1,-2120,30757] 2 [-26936:18657:512] 110110ct2 [1,1,1,3930,180797] 2 [-13148280:11348153:373248]
110110cu (1 curve)	1	2- 5- 7- 11- 13+	2-  2 5- 7- 11- 13+ -4 -6
Curve Equation t Generators 110110cu1 [1,1,1,-339710,85629787] 1 [-313:12861:1]
110110cv (2 curves)	0	2- 5- 7- 11- 13-	2-  2 5- 7- 11- 13- -8 -6
Curve Equation t 110110cv1 [1,1,1,-12419140,16840101697] 2 110110cv2 [1,1,1,-12834170,15653779945] 2
110110cw (2 curves)	0	2- 5- 7- 11- 13-	2- -2 5- 7- 11- 13-  4  6
Curve Equation t 110110cw1 [1,0,0,-22085,1220737] 2 110110cw2 [1,0,0,-55965,-3434375] 2

Data from Elliptic Curve Data by J. E. Cremona.
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Part of Computational Number Theory
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