Cremona's table of elliptic curves

82992 = 2⁴ · 3 · 7 · 13 · 19

Class	r	Atkin-Lehner	Eigenvalues
82992a (1 curve)	1	2+ 3+ 7+ 13- 19-	2+ 3+  2 7+  3 13- -6 19-
Curve Equation t Generators 82992a1 [0,-1,0,7223,-278987] 1 [23830711956:227625018289:440711081]
82992b (2 curves)	1	2+ 3+ 7+ 13- 19-	2+ 3+ -4 7+  0 13-  0 19-
Curve Equation t Generators 82992b1 [0,-1,0,125,-254] 2 [6:26:1] 82992b2 [0,-1,0,-540,-1584] 2 [-16:52:1]
82992c (2 curves)	1	2+ 3+ 7- 13+ 19-	2+ 3+  0 7-  0 13+  4 19-
Curve Equation t Generators 82992c1 [0,-1,0,-2003,-32934] 2 [-230:63:8] 82992c2 [0,-1,0,532,-113040] 2 [108:1092:1]
82992d (2 curves)	1	2+ 3+ 7- 13+ 19-	2+ 3+  0 7-  0 13+  6 19-
Curve Equation t Generators 82992d1 [0,-1,0,-1245648,-534692592] 2 [547415559648:-29387003490604:165469149] 82992d2 [0,-1,0,-1244888,-535378416] 2 [1174104:29474956:729]
82992e (1 curve)	1	2+ 3+ 7- 13+ 19-	2+ 3+  0 7- -3 13+ -2 19-
Curve Equation t Generators 82992e1 [0,-1,0,-52805873,-156572025987] 1 [59759876:12484479245:1331]
82992f (2 curves)	1	2+ 3+ 7- 13+ 19-	2+ 3+  0 7-  4 13+  0 19-
Curve Equation t Generators 82992f1 [0,-1,0,-1266203,548829450] 2 [1771462:535347:2744] 82992f2 [0,-1,0,-1266188,548843088] 2 [724:3332:1]
82992g (2 curves)	1	2+ 3+ 7- 13+ 19-	2+ 3+  0 7- -4 13+ -4 19-
Curve Equation t Generators 82992g1 [0,-1,0,-367043,85712550] 2 [354:126:1] 82992g2 [0,-1,0,-365828,86306928] 2 [232:3724:1]
82992h (1 curve)	1	2+ 3+ 7- 13+ 19-	2+ 3+  0 7- -6 13+ -5 19-
Curve Equation t Generators 82992h1 [0,-1,0,-222808,-40406261] 1 [1831:75411:1]
82992i (4 curves)	1	2+ 3+ 7- 13- 19+	2+ 3+  2 7- -4 13-  6 19+
Curve Equation t Generators 82992i1 [0,-1,0,-7852,267232] 2 [25508:102360:343] 82992i2 [0,-1,0,-15072,-293040] 4 [232:2940:1] 82992i3 [0,-1,0,54088,-2284848] 2 [4782:96670:27] 82992i4 [0,-1,0,-199752,-34274160] 2 [-256:140:1]
82992j (2 curves)	0	2+ 3+ 7- 13- 19-	2+ 3+  2 7- -2 13- -4 19-
Curve Equation t 82992j1 [0,-1,0,-3192,-68352] 2 82992j2 [0,-1,0,-2912,-81120] 2
82992k (6 curves)	0	2+ 3+ 7- 13- 19-	2+ 3+ -2 7-  4 13- -6 19-
Curve Equation t 82992k1 [0,-1,0,-7519,-248450] 2 82992k2 [0,-1,0,-7924,-219776] 4 82992k3 [0,-1,0,16016,-1311440] 2 82992k4 [0,-1,0,-38344,2700544] 8 82992k5 [0,-1,0,38096,12056800] 4 82992k6 [0,-1,0,-601504,179758048] 4
82992l (2 curves)	0	2+ 3- 7+ 13+ 19+	2+ 3-  0 7+  0 13+  4 19+
Curve Equation t 82992l1 [0,1,0,-14483,-921168] 2 82992l2 [0,1,0,-254548,-49510324] 2
82992m (2 curves)	0	2+ 3- 7+ 13+ 19+	2+ 3-  4 7+  0 13+  0 19+
Curve Equation t 82992m1 [0,1,0,-931,-607288] 2 82992m2 [0,1,0,-113316,-14543028] 2
82992n (2 curves)	1	2+ 3- 7+ 13+ 19-	2+ 3-  0 7+  4 13+ -2 19-
Curve Equation t Generators 82992n1 [0,1,0,-768,7812] 2 [-24:114:1] 82992n2 [0,1,0,-8,23316] 2 [10:-156:1]
82992o (2 curves)	1	2+ 3- 7+ 13+ 19-	2+ 3-  2 7+ -2 13+ -4 19-
Curve Equation t Generators 82992o1 [0,1,0,-149007,55142892] 2 [24:7182:1] 82992o2 [0,1,0,-3269852,2272191180] 2 [9578:-69255:8]
82992p (4 curves)	1	2+ 3- 7+ 13+ 19-	2+ 3-  2 7+ -4 13+ -6 19-
Curve Equation t Generators 82992p1 [0,1,0,153,-1800] 2 [612:1605:64] 82992p2 [0,1,0,-1652,-23460] 4 [-29:30:1] 82992p3 [0,1,0,-6592,180068] 2 [-88:294:1] 82992p4 [0,1,0,-25592,-1584348] 2 [7706:235755:8]
82992q (2 curves)	1	2+ 3- 7+ 13+ 19-	2+ 3- -2 7+ -6 13+  0 19-
Curve Equation t Generators 82992q1 [0,1,0,-97319,-11750760] 2 [892:24738:1] 82992q2 [0,1,0,-1558324,-749266084] 2 [11530:6417:8]
82992r (4 curves)	0	2+ 3- 7+ 13- 19-	2+ 3-  2 7+  0 13- -6 19-
Curve Equation t 82992r1 [0,1,0,127913,-67072432] 2 82992r2 [0,1,0,-1900932,-932171940] 4 82992r3 [0,1,0,-6500072,5309780868] 4 82992r4 [0,1,0,-29763312,-62508031740] 2
82992s (2 curves)	0	2+ 3- 7+ 13- 19-	2+ 3-  2 7+  2 13-  0 19-
Curve Equation t 82992s1 [0,1,0,-572,-5460] 2 82992s2 [0,1,0,-512,-6588] 2
82992t (4 curves)	0	2+ 3- 7+ 13- 19-	2+ 3- -2 7+  4 13-  6 19-
Curve Equation t 82992t1 [0,1,0,-2399,68460] 2 82992t2 [0,1,0,-43804,3513356] 4 82992t3 [0,1,0,-49264,2576420] 2 82992t4 [0,1,0,-700824,225586116] 4
82992u (1 curve)	1	2+ 3- 7- 13+ 19+	2+ 3-  0 7-  0 13+  3 19+
Curve Equation t Generators 82992u1 [0,1,0,-3648,83799] 1 [33:21:1]
82992v (2 curves)	1	2+ 3- 7- 13+ 19+	2+ 3-  2 7-  2 13+  4 19+
Curve Equation t Generators 82992v1 [0,1,0,-567,5292] 2 [24:78:1] 82992v2 [0,1,0,-9212,337260] 2 [43:150:1]
82992w (2 curves)	0	2+ 3- 7- 13+ 19-	2+ 3-  0 7-  0 13+  2 19-
Curve Equation t 82992w1 [0,1,0,-4408,-114076] 2 82992w2 [0,1,0,-3648,-153900] 2
82992x (4 curves)	2	2+ 3- 7- 13+ 19-	2+ 3- -2 7-  0 13+ -6 19-
Curve Equation t Generators 82992x1 [0,1,0,-684,6156] 2 [-30:24:1]&[-9:108:1] 82992x2 [0,1,0,-2304,-35964] 4 [-30:84:1]&[-21:60:1] 82992x3 [0,1,0,4536,-202860] 2 [42:252:1]&[84:882:1] 82992x4 [0,1,0,-35064,-2538828] 2 [-108:6:1]&[332:4746:1]
82992y (2 curves)	2	2+ 3- 7- 13- 19+	2+ 3- -2 7- -6 13-  0 19+
Curve Equation t Generators 82992y1 [0,1,0,-25324,1463276] 2 [-169:972:1]&[155:-1134:1] 82992y2 [0,1,0,18416,6029732] 2 [-142:756:1]&[488:11466:1]
82992z (2 curves)	0	2+ 3- 7- 13- 19+	2+ 3-  4 7-  0 13-  8 19+
Curve Equation t 82992z1 [0,1,0,-661011,-175961448] 2 82992z2 [0,1,0,1187004,-981695988] 2
82992ba (1 curve)	0	2+ 3- 7- 13- 19+	2+ 3- -4 7-  6 13-  3 19+
Curve Equation t 82992ba1 [0,1,0,-1300,-18841] 1
82992bb (1 curve)	1	2+ 3- 7- 13- 19-	2+ 3-  0 7-  5 13- -2 19-
Curve Equation t Generators 82992bb1 [0,1,0,-33,171] 1 [6:15:1]
82992bc (4 curves)	1	2+ 3- 7- 13- 19-	2+ 3-  2 7-  4 13-  2 19-
Curve Equation t Generators 82992bc1 [0,1,0,-3647,-85932] 2 [-2204:165:64] 82992bc2 [0,1,0,-4492,-44020] 4 [-37:270:1] 82992bc3 [0,1,0,16568,-322012] 4 [119:1830:1] 82992bc4 [0,1,0,-39072,2929860] 2 [-120:2430:1]
82992bd (1 curve)	1	2+ 3- 7- 13- 19-	2+ 3- -4 7-  4 13- -1 19-
Curve Equation t Generators 82992bd1 [0,1,0,-13514040,-19589971581] 1 [4317:50421:1]
82992be (2 curves)	0	2- 3+ 7+ 13+ 19+	2- 3+  0 7+  2 13+  4 19+
Curve Equation t 82992be1 [0,-1,0,-142353,-20625852] 2 82992be2 [0,-1,0,-2277668,-1322313876] 2
82992bf (1 curve)	2	2- 3+ 7+ 13+ 19+	2- 3+  0 7+  2 13+ -5 19+
Curve Equation t Generators 82992bf1 [0,-1,0,62,19] 1 [1:9:1]&[9:35:1]
82992bg (1 curve)	0	2- 3+ 7+ 13+ 19+	2- 3+  0 7+ -3 13+ -6 19+
Curve Equation t 82992bg1 [0,-1,0,-27893,4965993] 1
82992bh (2 curves)	0	2- 3+ 7+ 13+ 19+	2- 3+  2 7+ -2 13+ -6 19+
Curve Equation t 82992bh1 [0,-1,0,-18932397,31717531872] 2 82992bh2 [0,-1,0,-302929292,2029465290060] 2
82992bi (1 curve)	0	2- 3+ 7+ 13+ 19+	2- 3+ -3 7+  3 13+ -6 19+
Curve Equation t 82992bi1 [0,-1,0,-92,-324] 1
82992bj (1 curve)	1	2- 3+ 7+ 13+ 19-	2- 3+  1 7+ -5 13+ -8 19-
Curve Equation t Generators 82992bj1 [0,-1,0,-320,-8256] 1 [26:18:1]
82992bk (1 curve)	1	2- 3+ 7+ 13+ 19-	2- 3+ -2 7+  1 13+ -2 19-
Curve Equation t Generators 82992bk1 [0,-1,0,-229,2125] 1 [12:31:1]
82992bl (2 curves)	1	2- 3+ 7+ 13+ 19-	2- 3+ -2 7+ -2 13+  4 19-
Curve Equation t Generators 82992bl1 [0,-1,0,-26944,1697344] 2 [-155:1458:1] 82992bl2 [0,-1,0,-7504,4076800] 2 [72:-1976:1]
82992bm (2 curves)	1	2- 3+ 7+ 13+ 19-	2- 3+ -2 7+ -2 13+ -8 19-
Curve Equation t Generators 82992bm1 [0,-1,0,-93304,-10864016] 2 [-167:180:1] 82992bm2 [0,-1,0,-31864,-25019792] 2 [348:2432:1]
82992bn (4 curves)	1	2- 3+ 7+ 13+ 19-	2- 3+ -2 7+  4 13+ -2 19-
Curve Equation t Generators 82992bn1 [0,-1,0,-6384,150528] 2 [-88:152:1] 82992bn2 [0,-1,0,-35264,-2414016] 4 [-126:114:1] 82992bn3 [0,-1,0,24016,-9764736] 2 [186:1050:1] 82992bn4 [0,-1,0,-556624,-159656192] 2 [13258:1524042:1]
82992bo (2 curves)	1	2- 3+ 7+ 13+ 19-	2- 3+ -2 7+  4 13+  4 19-
Curve Equation t Generators 82992bo1 [0,-1,0,-5217969,4589493480] 2 [1212455706:-1824703287:941192] 82992bo2 [0,-1,0,-5250924,4528619004] 2 [33023379296429830:327146955588973799:30552747876728]
82992bp (2 curves)	1	2- 3+ 7+ 13+ 19-	2- 3+ -4 7+  4 13+ -6 19-
Curve Equation t Generators 82992bp1 [0,-1,0,-3305,-130104] 2 [1226:13715:8] 82992bp2 [0,-1,0,-63820,-6181604] 2 [302210:1428681:1000]
82992bq (6 curves)	1	2- 3+ 7+ 13- 19+	2- 3+  0 7+  0 13-  6 19+
Curve Equation t Generators 82992bq1 [0,-1,0,-545168,-149474880] 2 [88581405672:-8827008053248:8869743] 82992bq2 [0,-1,0,233072,-542330432] 2 [558936:6780032:729] 82992bq3 [0,-1,0,-6489488,6319382976] 2 [46344:413504:27] 82992bq4 [0,-1,0,-2099728,14723139520] 2 [424:117936:1] 82992bq5 [0,-1,0,-524596688,4624905372864] 2 [6644709514920:-35102012624:502459875] 82992bq6 [0,-1,0,-524593648,4624961651776] 2 [1623920:5903352:125]
82992br (4 curves)	1	2- 3+ 7+ 13- 19+	2- 3+  0 7+  0 13-  6 19+
Curve Equation t Generators 82992br1 [0,-1,0,-13473,-664632] 2 [1322:10101:8] 82992br2 [0,-1,0,-222188,-40236996] 2 [343950:13033657:216] 82992br3 [0,-1,0,87927,1766940] 2 [66812690:4080854505:1815848] 82992br4 [0,-1,0,-357908,14606988] 2 [48379428260690190:-1802876854438096633:30109256631000]
82992bs (3 curves)	1	2- 3+ 7+ 13- 19+	2- 3+  0 7+ -3 13- -6 19+
Curve Equation t Generators 82992bs1 [0,-1,0,-5493,-155907] 1 [213593404:929208737:2248091] 82992bs2 [0,-1,0,16107,-844515] 1 [668:17537:1] 82992bs3 [0,-1,0,-158613,37821021] 1 [105504556:2494820365:148877]
82992bt (2 curves)	1	2- 3+ 7+ 13- 19+	2- 3+ -3 7+  3 13-  0 19+
Curve Equation t Generators 82992bt1 [0,-1,0,-689512,-225669776] 1 [518734094:15257869398:357911] 82992bt2 [0,-1,0,3127208,-877516304] 1 [346:15678:1]
82992bu (2 curves)	0	2- 3+ 7+ 13- 19-	2- 3+  0 7+ -2 13- -4 19-
Curve Equation t 82992bu1 [0,-1,0,1421727,-1303335504] 2 82992bu2 [0,-1,0,-12780188,-14971258500] 2
82992bv (2 curves)	1	2- 3+ 7- 13+ 19+	2- 3+  2 7- -2 13+  4 19+
Curve Equation t Generators 82992bv1 [0,-1,0,-432,0] 2 [64:480:1] 82992bv2 [0,-1,0,1728,-1728] 2 [8:112:1]
82992bw (4 curves)	1	2- 3+ 7- 13+ 19+	2- 3+ -2 7- -4 13+  2 19+
Curve Equation t Generators 82992bw1 [0,-1,0,296,31024] 2 [-12:160:1] 82992bw2 [0,-1,0,-13224,571824] 4 [-76:1064:1] 82992bw3 [0,-1,0,-32984,-1514832] 2 [-102:882:1] 82992bw4 [0,-1,0,-209784,37053360] 2 [266:34:1]
82992bx (4 curves)	0	2- 3+ 7- 13+ 19-	2- 3+ -2 7-  0 13+  2 19-
Curve Equation t 82992bx1 [0,-1,0,-16858024,26647076464] 2 82992bx2 [0,-1,0,-16939944,26375102064] 4 82992bx3 [0,-1,0,619096,78377954928] 2 82992bx4 [0,-1,0,-35809704,-43035423120] 2
82992by (1 curve)	0	2- 3+ 7- 13+ 19-	2- 3+  4 7-  3 13+  2 19-
Curve Equation t 82992by1 [0,-1,0,-21,-1047] 1
82992bz (1 curve)	0	2- 3+ 7- 13- 19+	2- 3+  1 7-  1 13- -2 19+
Curve Equation t 82992bz1 [0,-1,0,580,15324] 1
82992ca (1 curve)	0	2- 3+ 7- 13- 19+	2- 3+  2 7-  3 13- -2 19+
Curve Equation t 82992ca1 [0,-1,0,723,-18207] 1
82992cb (2 curves)	0	2- 3+ 7- 13- 19+	2- 3+  4 7- -4 13-  2 19+
Curve Equation t 82992cb1 [0,-1,0,-12136,-317072] 2 82992cb2 [0,-1,0,36504,-2262672] 2
82992cc (1 curve)	1	2- 3+ 7- 13- 19-	2- 3+ -1 7- -3 13-  0 19-
Curve Equation t Generators 82992cc1 [0,-1,0,-42736,3839872] 1 [-14:2106:1]
82992cd (4 curves)	1	2- 3+ 7- 13- 19-	2- 3+ -2 7-  0 13-  6 19-
Curve Equation t Generators 82992cd1 [0,-1,0,-62784,5889024] 2 [4512:5120:27] 82992cd2 [0,-1,0,-995904,382869504] 4 [549:1134:1] 82992cd3 [0,-1,0,-987264,389829888] 4 [32:18928:1] 82992cd4 [0,-1,0,-15934464,24487729920] 2 [18458:1497:8]
82992ce (1 curve)	1	2- 3+ 7- 13- 19-	2- 3+ -4 7-  3 13-  2 19-
Curve Equation t Generators 82992ce1 [0,-1,0,-207285,36393981] 1 [260:91:1]
82992cf (4 curves)	1	2- 3- 7+ 13+ 19+	2- 3-  2 7+ -4 13+  6 19+
Curve Equation t Generators 82992cf1 [0,1,0,-28432,1835540] 2 [-94:1920:1] 82992cf2 [0,1,0,-31312,1438100] 4 [-97:1890:1] 82992cf3 [0,1,0,87248,9832148] 2 [22057:1359630:343] 82992cf4 [0,1,0,-195952,-32346028] 2 [-169497:609490:729]
82992cg (4 curves)	0	2- 3- 7+ 13+ 19-	2- 3-  2 7+  0 13+ -2 19-
Curve Equation t 82992cg1 [0,1,0,-3472,-78508] 2 82992cg2 [0,1,0,-7392,126900] 4 82992cg3 [0,1,0,24528,956820] 2 82992cg4 [0,1,0,-102032,12505812] 4
82992ch (2 curves)	0	2- 3- 7+ 13+ 19-	2- 3- -2 7+  0 13+  0 19-
Curve Equation t 82992ch1 [0,1,0,-2289,-42570] 2 82992ch2 [0,1,0,-4044,29736] 2
82992ci (4 curves)	0	2- 3- 7+ 13- 19+	2- 3-  2 7+  4 13- -6 19+
Curve Equation t 82992ci1 [0,1,0,-5192,-145740] 2 82992ci2 [0,1,0,-5272,-141100] 4 82992ci3 [0,1,0,4088,-579148] 2 82992ci4 [0,1,0,-15912,595188] 4
82992cj (2 curves)	0	2- 3- 7+ 13- 19+	2- 3-  2 7+ -4 13- -8 19+
Curve Equation t 82992cj1 [0,1,0,-57,-162] 2 82992cj2 [0,1,0,-252,1320] 2
82992ck (2 curves)	0	2- 3- 7+ 13- 19+	2- 3-  4 7+  0 13-  2 19+
Curve Equation t 82992ck1 [0,1,0,-616,-1228] 2 82992ck2 [0,1,0,2424,-7308] 2
82992cl (1 curve)	0	2- 3- 7- 13+ 19+	2- 3-  0 7-  2 13+  7 19+
Curve Equation t 82992cl1 [0,1,0,-82538,-9520005] 1
82992cm (1 curve)	1	2- 3- 7- 13+ 19-	2- 3-  0 7- -4 13+  7 19-
Curve Equation t Generators 82992cm1 [0,1,0,9422,-214669] 1 [35:399:1]
82992cn (2 curves)	1	2- 3- 7- 13+ 19-	2- 3- -2 7- -2 13+  0 19-
Curve Equation t Generators 82992cn1 [0,1,0,-27704,-1772460] 2 [-92:78:1] 82992cn2 [0,1,0,-9784,-4016044] 2 [236:2622:1]
82992co (2 curves)	1	2- 3- 7- 13- 19+	2- 3-  0 7-  2 13-  0 19+
Curve Equation t Generators 82992co1 [0,1,0,196527,6720066] 2 [330:10374:1] 82992co2 [0,1,0,-803108,53502984] 2 [-905:6318:1]
82992cp (2 curves)	1	2- 3- 7- 13- 19+	2- 3-  2 7- -6 13-  0 19+
Curve Equation t Generators 82992cp1 [0,1,0,-512,4020] 2 [-17:90:1] 82992cp2 [0,1,0,448,18228] 2 [42:336:1]
82992cq (1 curve)	1	2- 3- 7- 13- 19+	2- 3- -2 7-  3 13-  6 19+
Curve Equation t Generators 82992cq1 [0,1,0,-9989,-403725] 1 [118:273:1]
82992cr (1 curve)	1	2- 3- 7- 13- 19+	2- 3-  3 7-  5 13- -6 19+
Curve Equation t Generators 82992cr1 [0,1,0,476,-32536] 1 [35:168:1]
82992cs (1 curve)	1	2- 3- 7- 13- 19+	2- 3- -4 7-  0 13-  3 19+
Curve Equation t Generators 82992cs1 [0,1,0,4090,309459] 1 [127:-1701:1]
82992ct (2 curves)	0	2- 3- 7- 13- 19-	2- 3-  0 7- -4 13-  6 19-
Curve Equation t 82992ct1 [0,1,0,-33,570] 2 82992ct2 [0,1,0,-1268,16872] 2
82992cu (2 curves)	0	2- 3- 7- 13- 19-	2- 3-  2 7-  0 13-  0 19-
Curve Equation t 82992cu1 [0,1,0,-1097,11742] 2 82992cu2 [0,1,0,-16892,839400] 2
82992cv (2 curves)	0	2- 3- 7- 13- 19-	2- 3-  2 7- -2 13-  8 19-
Curve Equation t 82992cv1 [0,1,0,-1155512,-478459308] 2 82992cv2 [0,1,0,-1100632,-525897580] 2
82992cw (1 curve)	0	2- 3- 7- 13- 19-	2- 3-  3 7-  5 13-  0 19-
Curve Equation t 82992cw1 [0,1,0,5616,37908] 1

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