{
  "id": 577,
  "curve_key": "1434095117646429000794290577616:-1844434217334634328546165746947395658790505664",
  "ainvs": [
    "0",
    "0",
    "0",
    "-29876981617633937516547720367",
    "2134761825618789732113617762670596827303826"
  ],
  "rank_lower_bound": 21,
  "torsion": [],
  "naive_height": 208.45700351584878,
  "faltings_height": 15.325714517030567,
  "conductor": "5559315405573619230665818880405552177115392444078214645856264902627320",
  "bad_primes": [
    "2",
    "5",
    "7",
    "11",
    "13",
    "17",
    "23",
    "29",
    "373",
    "252641",
    "129939091709606364242290500222199044977231168526393229"
  ],
  "discriminant": "-261884405048248085978968888893595981016065881710961554676342810527857188166940444000000",
  "regulator": "68577152366591592658857.856348909917247572425258099703916755413312360574987563719",
  "points": [
    [
      "894683822552217745/13456",
      "-1037960902627747722091068601/1560896"
    ],
    [
      "122676570167097",
      "-561945059675115916030"
    ],
    [
      "-143291239416643",
      "1863802960211007881890"
    ],
    [
      "187427919154465702/1681",
      "-30014952773137186294247500/68921"
    ],
    [
      "282820180815445671210157/2502100441",
      "-56228956634412681745295105482774910/125157566159261"
    ],
    [
      "93122320766993818/729",
      "-12490115476888574398100150/19683"
    ],
    [
      "8533746900929995463/76729",
      "-9206117741797678956683669240/21253933"
    ],
    [
      "516429821687130972617/4596736",
      "-4365397272872180558763554920955/9855401984"
    ],
    [
      "24397002834607357/361",
      "-4467779973023966567392270/6859"
    ],
    [
      "-4006132384061664027/113569",
      "67871043719586570595126289350/38272753"
    ],
    [
      "-1373800700309520835809/8994001",
      "-47754939913012950123865255856960/26973008999"
    ],
    [
      "1232696623283267157/10201",
      "-553858045520095868770752710/1030301"
    ],
    [
      "129527100689867",
      "-661811253838777642600"
    ],
    [
      "4654402646267118281857/242923396",
      "4743123569383459753952197832468375/3786204050056"
    ],
    [
      "947674585810579564587/8814961",
      "-10641240806090443870318355050000/26171619209"
    ],
    [
      "6338839069264366893847/84254041",
      "-432548633778766096005635559738400/773367842339"
    ],
    [
      "193884303496687",
      "-1905364212485907822880"
    ],
    [
      "86119223104541513967/863041",
      "-307454768806669997018192807120/801765089"
    ],
    [
      "-7296139865688852263/143641",
      "-102157080948239766791536384190/54439939"
    ],
    [
      "17077175856740521176345/116273089",
      "-1199223348771744496162068586882402/1253772718687"
    ],
    [
      "292176520711443041479305/2538849769",
      "-60082840196508711131269818053241682/127925023310603"
    ]
  ],
  "submitter": "Jason Ma",
  "history": [],
  "commentary": null,
  "created_at": "2026-09-04 17:20:38",
  "updated_at": "2026-09-04 17:20:38"
}