# List of S-integral points (x,y) on the elliptic curve # y^2 + y = x^3 - 6349808647*x + 193146346911036 # assuming that the Mordell-Weil rank is at most the analytic rank of this curve (as predicted by BSD), where # S is the set of the first 0 primes. # It contains 222 points in total. # For each point P, only one of +P, -P is listed. # Format: "(P(x),P(y))". # Computing this list took 142 seconds. # Authors: Rafael von Känel and Benjamin Matschke, 2015. # License: Creative commons 3.0 by-nc. # (42543,72833) (42541,84530) (42464,280691) (42321,464589) (42187,590750) (41990,743622) (49421,200114) (49493,333458) (49513,362258) (41746,905085) (49632,502899) (49667,538049) (49797,654674) (41442,1082450) (49899,735713) (50012,818375) (50165,921837) (41074,1276386) (50215,954017) (40636,1488999) (50823,1305633) (51108,1454591) (51376,1589084) (38756,2294720) (52840,2270507) (37887,2637249) (37228,2889783) (36441,3185069) (54329,2920146) (35965,3360882) (54576,3025884) (35184,3645468) (35022,3703950) (34411,3922974) (56052,3651375) (33454,4261521) (56986,4043850) (32037,4753874) (57819,4392926) (58007,4471649) (60115,5354622) (60568,5544708) (28296,6010635) (62036,6162224) (25615,6877697) (63163,6638241) (24477,7237874) (22028,7997591) (65936,7818300) (66058,7870533) (18007,9200225) (16344,9681476) (16096,9752435) (70629,9848621) (71203,10100033) (14051,10329534) (13687,10430750) (13352,10523499) (11115,11132897) (75317,11922450) (8719,11766273) (8237,11891250) (75874,12171986) (76266,12348005) (77834,13055418) (2206,13384670) (572,13766424) (-3659,14708205) (-6674,15337134) (-7501,15503361) (87363,17469633) (-11035,16182482) (89798,18629241) (90667,19046174) (91474,19434813) (-14359,16773869) (-14748,16839999) (95649,21467661) (95751,21517790) (-20836,17787783) (-22511,18018866) (-26041,18461918) (-26792,18548283) (-27260,18600672) (101588,24422991) (-31753,19046174) (-35677,19346241) (107783,27584033) (-38989,19530750) (109540,28494912) (111490,29513202) (-44822,19690341) (-50760,19613147) (-52476,19541088) (-53216,19502643) (-58227,19117133) (-58914,19046174) (122788,35563008) (-62502,18597258) (-69894,17190570) (-70431,17058573) (-75282,15637166) (-77123,14971250) (-78023,14615250) (-88692,7658216) (-88777,7561758) (-89660,6457632) (-89718,6377274) (-90217,5632158) (-91135,3860877) (-91888,877500) (147444,49621551) (159892,57145200) (179324,69433511) (193976,79120859) (195213,79954866) (195609,80222381) (197618,81583458) (201129,83977746) (208314,88938858) (240026,111792309) (243998,114761633) (250153,119408658) (277182,140459774) (327679,182473278) (330697,185090450) (340406,193588745) (351971,203866689) (353821,205526285) (372665,222670637) (402418,250610333) (422833,270380466) (436683,284063841) (454403,301883841) (502951,352456865) (516254,366750753) (517999,368639361) (587582,446459774) (599099,459801438) (626338,491861741) (628766,494753630) (645615,514973822) (726013,615029133) (756904,654996203) (779967,685370174) (941572,910479200) (1053232,1077892899) (1209904,1328024796) (1386836,1630554575) (1421240,1691734052) (1429023,1705677758) (1491990,1819873622) (1569011,1962858750) (1918068,2654158416) (1960172,2742127799) (1974594,2772478898) (2174478,3204385841) (2209703,3282631841) (2226024,3319098411) (2278557,3437380850) (2376201,3660863634) (3013837,5230332749) (3039866,5298267605) (3330990,6077665902) (3389766,6239296505) (4585467,9817710174) (4995118,11162557166) (5498431,12891777729) (6145154,15232206578) (6493163,16544433633) (6758326,17568255990) (7056340,18743110832) (7560183,20786168033) (8112432,23104987100) (8484074,24710844261) (8861871,26379747710) (9812665,30737333037) (11436465,38674721357) (12045027,41802493374) (12949838,46600255758) (14436215,54849593057) (17149966,71021561294) (17554038,73546343241) (18252694,77980556073) (18429615,79117096577) (19940618,89043958458) (21420790,99140299062) (29456731,159873040929) (45295987,304851909374) (45573313,307655893133) (46778162,319936729250) (57484629,435840096621) (59509292,459067751799) (67768083,557875772033) (70266654,589011306078) (76130134,664254726806) (80407692,721018123799) (88023067,825837438174) (93697294,906964766001) (95794086,937579054950) (121968674,1347014779538) (128878965,1463096517357) (189045098,2599250236133) (219603464,3254308727691) (252257566,4006510449569) (579400424,13946595624788) (584958601,14147760281234) (650445149,16588839884786) (2223195278,104825373073841) (2273581715,108409128086657) (2409025768,118239386565291) (3912475461,244724494394450) (6190772040,487098978355787) (6251146865,494241892058802) (9520881344,929000032186476) (13730280003,1608863099419841) (16537056415,2126607356809662) (163610151322,66178263846662325) (165118254697,67095382674189549) (177599682076,74845083288117240) (190544241026,83175178372791309) (25547806691776,129130975573044903059)