Cremona's table of elliptic curves

119130 = 2 · 3 · 5 · 11 · 19²

Class	r	Atkin-Lehner	Eigenvalues
119130a (2 curves)	1	2+ 3+ 5+ 11+ 19+	2+ 3+ 5+  2 11+ -2  2 19+
Curve Equation t Generators 119130a1 [1,1,0,-1128,-1294272] 2 [128:760:1] 119130a2 [1,1,0,-185048,-30316848] 2 [-268:476:1]
119130b (1 curve)	1	2+ 3+ 5+ 11+ 19+	2+ 3+ 5+ -3 11+  5 -6 19+
Curve Equation t Generators 119130b1 [1,1,0,535717,-308955363] 1 [511:9672:1]
119130c (2 curves)	1	2+ 3+ 5+ 11+ 19+	2+ 3+ 5+  4 11+ -2 -4 19+
Curve Equation t Generators 119130c1 [1,1,0,1050142,-1579729152] 2 [3051835750:120121021066:1953125] 119130c2 [1,1,0,-15617228,-21943921818] 2 [41284007202923625:-2431303416903715116:6460837890625]
119130d (2 curves)	0	2+ 3+ 5+ 11+ 19-	2+ 3+ 5+  2 11+  2  0 19-
Curve Equation t 119130d1 [1,1,0,-339708,-531051588] 2 119130d2 [1,1,0,-12133578,-16195669722] 2
119130e (2 curves)	1	2+ 3+ 5+ 11- 19-	2+ 3+ 5+ -2 11-  2  2 19-
Curve Equation t Generators 119130e1 [1,1,0,-8772668,8688549072] 2 [-154636:8118593:64] 119130e2 [1,1,0,14331332,46750078672] 2 [183486:28126183:8]
119130f (2 curves)	1	2+ 3+ 5+ 11- 19-	2+ 3+ 5+ -2 11-  2 -4 19-
Curve Equation t Generators 119130f1 [1,1,0,-348733,-79960067] 2 [13398:501589:8] 119130f2 [1,1,0,-5590453,-5089996043] 2 [21846:21461:8]
119130g (2 curves)	0	2+ 3+ 5- 11+ 19+	2+ 3+ 5-  2 11+ -2  4 19+
Curve Equation t 119130g1 [1,1,0,-221197247,-1266934506891] 2 119130g2 [1,1,0,-3539619827,-81057078073959] 2
119130h (2 curves)	2	2+ 3+ 5- 11+ 19+	2+ 3+ 5- -2 11+ -2 -4 19+
Curve Equation t Generators 119130h1 [1,1,0,-9982,386164] 2 [-17:-734:1]&[-586:7133:8] 119130h2 [1,1,0,-160462,24673636] 2 [232:-146:1]&[-344:6442:1]
119130i (6 curves)	1	2+ 3+ 5- 11+ 19-	2+ 3+ 5-  0 11+  2  2 19-
Curve Equation t Generators 119130i1 [1,1,0,1798,-113004] 2 [28047:891184:27] 119130i2 [1,1,0,-27082,-1597436] 4 [208:1246:1] 119130i3 [1,1,0,-92062,8890336] 4 [17:2699:1] 119130i4 [1,1,0,-424182,-106511256] 2 [4179:264603:1] 119130i5 [1,1,0,178688,51614686] 2 [587:18659:1] 119130i6 [1,1,0,-1402492,638682994] 2 [93:22516:1]
119130j (2 curves)	1	2+ 3+ 5- 11- 19+	2+ 3+ 5-  2 11- -2  4 19+
Curve Equation t Generators 119130j1 [1,1,0,-1528842,-687757356] 2 [1428:5886:1] 119130j2 [1,1,0,1214758,-2882088636] 2 [144205:866071:125]
119130k (4 curves)	0	2+ 3+ 5- 11- 19-	2+ 3+ 5- -2 11-  6 -2 19-
Curve Equation t 119130k1 [1,1,0,-9846282,-13741979436] 2 119130k2 [1,1,0,-164238762,-810191026764] 2 119130k3 [1,1,0,-23167182,1122836131584] 2 119130k4 [1,1,0,-1767349512,28313592146886] 2
119130l (4 curves)	1	2+ 3- 5+ 11+ 19-	2+ 3- 5+  0 11+ -2 -6 19-
Curve Equation t Generators 119130l1 [1,0,1,15876,-896198] 2 [668560:9738821:4096] 119130l2 [1,0,1,-99644,-8843974] 4 [-159:1807:1] 119130l3 [1,0,1,-576164,161178362] 2 [6670:125793:8] 119130l4 [1,0,1,-1471444,-687061894] 2 [-355768:218857:512]
119130m (4 curves)	1	2+ 3- 5+ 11+ 19-	2+ 3- 5+  4 11+ -2  2 19-
Curve Equation t Generators 119130m1 [1,0,1,-14536034,-20155262668] 2 [-102550791:-1531616363:50653] 119130m2 [1,0,1,-44109154,87940405556] 4 [-4019:449561:1] 119130m3 [1,0,1,100290846,543435765556] 2 [1778:851973:1] 119130m4 [1,0,1,-661679074,6550686104372] 2 [31720:4164788:1]
119130n (2 curves)	1	2+ 3- 5+ 11- 19+	2+ 3- 5+  2 11- -1  6 19+
Curve Equation t Generators 119130n1 [1,0,1,1015846,2843368652] 3 [4485:310201:1] 119130n2 [1,0,1,-9169769,-78054859924] 1 [18634965:662748926:3375]
119130o (1 curve)	1	2+ 3- 5+ 11- 19+	2+ 3- 5+ -2 11-  1 -4 19+
Curve Equation t Generators 119130o1 [1,0,1,14116536,-1835909738] 1 [9416:-987531:1]
119130p (2 curves)	1	2+ 3- 5- 11+ 19+	2+ 3- 5-  2 11+  5 -6 19+
Curve Equation t Generators 119130p1 [1,0,1,-8,-6694] 3 [75:607:1] 119130p2 [1,0,1,-27083,-1717834] 1 [6357:57008:27]
119130q (2 curves)	1	2+ 3- 5- 11+ 19+	2+ 3- 5-  4 11+ -2 -4 19+
Curve Equation t Generators 119130q1 [1,0,1,-4188,86938] 2 [-46:450:1] 119130q2 [1,0,1,-19388,-958822] 2 [-78:322:1]
119130r (1 curve)	0	2+ 3- 5- 11+ 19-	2+ 3- 5-  1 11+  3  2 19-
Curve Equation t 119130r1 [1,0,1,-958,-43744] 1
119130s (1 curve)	0	2+ 3- 5- 11+ 19-	2+ 3- 5- -2 11+ -3 -4 19-
Curve Equation t 119130s1 [1,0,1,-1004451823,-51272610446494] 1
119130t (2 curves)	0	2+ 3- 5- 11- 19+	2+ 3- 5-  0 11-  2  0 19+
Curve Equation t 119130t1 [1,0,1,87,-2324] 2 119130t2 [1,0,1,-2193,-37892] 2
119130u (6 curves)	1	2+ 3- 5- 11- 19-	2+ 3- 5-  0 11- -6  2 19-
Curve Equation t Generators 119130u1 [1,0,1,92047,-1013884] 2 [267:6394:1] 119130u2 [1,0,1,-370033,-8222332] 4 [-293:8810:1] 119130u3 [1,0,1,-3864513,2911765156] 4 [-730:73467:1] 119130u4 [1,0,1,-4268833,-3387702172] 2 [-1148:1115:1] 119130u5 [1,0,1,-1879013,5900339756] 2 [-510:82267:1] 119130u6 [1,0,1,-61761693,186816367708] 2 [4514:-4965:1]
119130v (2 curves)	1	2+ 3- 5- 11- 19-	2+ 3- 5- -2 11-  6  2 19-
Curve Equation t Generators 119130v1 [1,0,1,-1326683,303410918] 2 [42933:-1292200:27] 119130v2 [1,0,1,4449317,2237215718] 2 [3754:266165:1]
119130w (1 curve)	1	2+ 3- 5- 11- 19-	2+ 3- 5- -5 11- -2  7 19-
Curve Equation t Generators 119130w1 [1,0,1,-143078,21445256] 1 [345:-3803:1]
119130x (4 curves)	1	2- 3+ 5+ 11+ 19-	2- 3+ 5+  2 11+ -2 -6 19-
Curve Equation t Generators 119130x1 [1,1,1,186449,18986513] 2 [510146:21019557:2744] 119130x2 [1,1,1,-885721,163515029] 2 [926975079982:-13250093374029:982107784] 119130x3 [1,1,1,-3826066,2924417759] 2 [-97:57447:1] 119130x4 [1,1,1,-61484986,185541749183] 2 [5227:81073:1]
119130y (2 curves)	1	2- 3+ 5+ 11+ 19-	2- 3+ 5+ -2 11+ -2  2 19-
Curve Equation t Generators 119130y1 [1,1,1,-92617626,-343336521177] 2 [6106542:5331692119:8] 119130y2 [1,1,1,-1482149946,-21963347794521] 2 [873998260926378:762353721480973909:1144445336]
119130z (2 curves)	0	2- 3+ 5+ 11- 19-	2- 3+ 5+  0 11-  6  0 19-
Curve Equation t 119130z1 [1,1,1,8114009,-4965616291] 2 119130z2 [1,1,1,-37631911,-42605359267] 2
119130ba (4 curves)	0	2- 3+ 5+ 11- 19-	2- 3+ 5+  0 11- -6  6 19-
Curve Equation t 119130ba1 [1,1,1,-160111,31874213] 2 119130ba2 [1,1,1,-2766531,1769835069] 4 119130ba3 [1,1,1,-2972301,1491057873] 2 119130ba4 [1,1,1,-44263481,113330235449] 2
119130bb (2 curves)	0	2- 3+ 5+ 11- 19-	2- 3+ 5+  2 11-  1  6 19-
Curve Equation t 119130bb1 [1,1,1,2814,-413361] 1 119130bb2 [1,1,1,-25401,11369223] 1
119130bc (1 curve)	2	2- 3+ 5+ 11- 19-	2- 3+ 5+ -2 11- -1 -4 19-
Curve Equation t Generators 119130bc1 [1,1,1,39104,284129] 1 [109:-2475:1]&[-1:495:1]
119130bd (2 curves)	0	2- 3+ 5+ 11- 19-	2- 3+ 5+ -2 11- -2 -2 19-
Curve Equation t 119130bd1 [1,1,1,-15255326,22920072023] 2 119130bd2 [1,1,1,-12999076,29937912023] 2
119130be (1 curve)	1	2- 3+ 5- 11+ 19+	2- 3+ 5-  1 11+ -3  2 19+
Curve Equation t Generators 119130be1 [1,1,1,-345665,299347055] 1 [-1365:481160:27]
119130bf (1 curve)	1	2- 3+ 5- 11+ 19+	2- 3+ 5- -2 11+  3 -4 19+
Curve Equation t Generators 119130bf1 [1,1,1,-2782415,7474059605] 1 [663:76618:1]
119130bg (2 curves)	1	2- 3+ 5- 11+ 19+	2- 3+ 5-  4 11+  2 -4 19+
Curve Equation t Generators 119130bg1 [1,1,1,-1511695,-599332843] 2 [2447:100566:1] 119130bg2 [1,1,1,-6998895,6562560597] 2 [6089395:199104446:2197]
119130bh (2 curves)	0	2- 3+ 5- 11+ 19-	2- 3+ 5-  2 11+ -5 -6 19-
Curve Equation t 119130bh1 [1,1,1,-2715,45907005] 1 119130bh2 [1,1,1,-9776790,11763068115] 1
119130bi (8 curves)	0	2- 3+ 5- 11+ 19-	2- 3+ 5- -4 11+ -2  6 19-
Curve Equation t 119130bi1 [1,1,1,-31229215,-58962791995] 4 119130bi2 [1,1,1,-482479215,-4079239291995] 4 119130bi3 [1,1,1,-630263590,6082227966755] 4 119130bi4 [1,1,1,-465331715,-4382592284995] 2 119130bi5 [1,1,1,-7719626715,-261064557298995] 2 119130bi6 [1,1,1,-815095590,2223083672355] 4 119130bi7 [1,1,1,3146662810,17496454656035] 2 119130bi8 [1,1,1,-7734165990,-260031825512925] 2
119130bj (2 curves)	0	2- 3+ 5- 11- 19+	2- 3+ 5-  0 11- -2  0 19+
Curve Equation t 119130bj1 [1,1,1,31580,16001765] 2 119130bj2 [1,1,1,-791500,258316517] 2
119130bk (1 curve)	0	2- 3+ 5- 11- 19+	2- 3+ 5- -5 11-  2  7 19+
Curve Equation t 119130bk1 [1,1,1,-51650985,-147196314585] 1
119130bl (2 curves)	1	2- 3- 5+ 11+ 19+	2- 3- 5+  2 11+  2  2 19+
Curve Equation t Generators 119130bl1 [1,0,0,-407396,8874152976] 2 [-488632:47152991:512] 119130bl2 [1,0,0,-66802516,207408840800] 2 [-40826:5176663:8]
119130bm (2 curves)	1	2- 3- 5+ 11+ 19+	2- 3- 5+  4 11+  2 -4 19+
Curve Equation t Generators 119130bm1 [1,0,0,2909,230621] 2 [-26:3775:8] 119130bm2 [1,0,0,-43261,3194735] 2 [1702:14395:8]
119130bn (1 curve)	2	2- 3- 5+ 11+ 19-	2- 3- 5+ -3 11+ -5 -6 19-
Curve Equation t Generators 119130bn1 [1,0,0,1484,45200] 1 [-22:56:1]&[-16:140:1]
119130bo (4 curves)	1	2- 3- 5+ 11- 19-	2- 3- 5+  0 11- -2 -2 19-
Curve Equation t Generators 119130bo1 [1,0,0,-503061,137291985] 2 [-312:16401:1] 119130bo2 [1,0,0,-510281,133146261] 4 [-314:16357:1] 119130bo3 [1,0,0,366949,543514455] 2 [-346:183923:8] 119130bo4 [1,0,0,-1503031,-542519389] 2 [18214:699175:8]
119130bp (2 curves)	1	2- 3- 5+ 11- 19-	2- 3- 5+  0 11- -2  4 19-
Curve Equation t Generators 119130bp1 [1,0,0,67319,-96563815] 2 [674:15635:1] 119130bp2 [1,0,0,-2791801,-1738270519] 2 [2840:113651:1]
119130bq (2 curves)	0	2- 3- 5- 11+ 19+	2- 3- 5-  2 11+  2  4 19+
Curve Equation t 119130bq1 [1,0,0,-79852206355,8689264965115025] 2 119130bq2 [1,0,0,-1277802757735,555960276087223397] 2
119130br (2 curves)	0	2- 3- 5- 11+ 19+	2- 3- 5- -2 11+  2 -4 19+
Curve Equation t 119130br1 [1,0,0,-3603690,-2677527900] 2 119130br2 [1,0,0,-57926970,-169699884588] 2
119130bs (4 curves)	1	2- 3- 5- 11+ 19-	2- 3- 5-  0 11+  6 -2 19-
Curve Equation t Generators 119130bs1 [1,0,0,-26180,778752] 4 [-98:1600:1] 119130bs2 [1,0,0,-206680,-35646148] 4 [-328988:956350:1331] 119130bs3 [1,0,0,-8130,-101207358] 2 [77357064642:-4479330946917:23393656] 119130bs4 [1,0,0,-3293230,-2300556538] 2 [6457713675946:-321223918249385:1824793048]
119130bt (4 curves)	1	2- 3- 5- 11+ 19-	2- 3- 5-  4 11+ -2 -6 19-
Curve Equation t Generators 119130bt1 [1,0,0,-2408780,-1615386480] 4 [3166:148402:1] 119130bt2 [1,0,0,-39837260,-96781039728] 4 [1088870:57713072:125] 119130bt3 [1,0,0,-41136860,-90129427008] 2 [12767332891210:673901135793976:1462135375] 119130bt4 [1,0,0,-637393340,-6193884746400] 2 [3974457410:-1161427101304:42875]
119130bu (2 curves)	1	2- 3- 5- 11- 19+	2- 3- 5-  2 11-  2  4 19+
Curve Equation t Generators 119130bu1 [1,0,0,-4235,99825] 2 [22:121:1] 119130bu2 [1,0,0,3365,420545] 2 [-8:631:1]
119130bv (2 curves)	0	2- 3- 5- 11- 19-	2- 3- 5-  2 11-  2 -2 19-
Curve Equation t 119130bv1 [1,0,0,-995465,-346804683] 2 119130bv2 [1,0,0,1260785,-1691980933] 2
119130bw (2 curves)	0	2- 3- 5- 11- 19-	2- 3- 5-  2 11-  2 -2 19-
Curve Equation t 119130bw1 [1,0,0,-520228985,4574693795577] 2 119130bw2 [1,0,0,-8327532665,292497123288825] 2
119130bx (2 curves)	0	2- 3- 5- 11- 19-	2- 3- 5- -2 11-  2  6 19-
Curve Equation t 119130bx1 [1,0,0,9920,-990148] 2 119130bx2 [1,0,0,-109210,-12355150] 2
119130by (4 curves)	0	2- 3- 5- 11- 19-	2- 3- 5- -4 11-  2 -2 19-
Curve Equation t 119130by1 [1,0,0,-8130,237252] 2 119130by2 [1,0,0,-37010,-2517900] 4 119130by3 [1,0,0,42410,-11841808] 2 119130by4 [1,0,0,-578510,-169408200] 2

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