{
  "id": 6235,
  "curve_key": "111229822310226921812998047570107936076665107825:-36800395967340111082153800519711477479261872237592173133310109586527625",
  "ainvs": [
    "1",
    "1",
    "1",
    "-2317287964796394204437459324377248668263856413",
    "42593050888125128567306673953754804140449392074346524680311961340531"
  ],
  "rank_lower_bound": 19,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 324.98378315050826,
  "faltings_height": 24.93743588685949,
  "conductor": "85846100457142021413369807897710852813676285438536199952814698136832974679317780550",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "13",
    "19",
    "31",
    "71",
    "73",
    "79",
    "83",
    "157",
    "211",
    "223",
    "227",
    "251",
    "443",
    "521",
    "1627",
    "3191",
    "4373",
    "7109",
    "8731",
    "27061",
    "109829",
    "118189",
    "184181",
    "64459907"
  ],
  "discriminant": "12658784334903009992753570966874662638458697522633265368482625249985234781616339907461801028321987203411202100127584057744411750168000000",
  "regulator": "4329975062715649381539466273.950388170048370431758463113150016255137853334598",
  "points": [
    [
      "15877779695157894128980531/225",
      "-51238132361232659204936107488564711116/3375"
    ],
    [
      "60581244044177041692722461/2025",
      "-18927391744763201478767355848643078644/91125"
    ],
    [
      "6799336292069072106227071/225",
      "1361208721935752952804931103536741036/3375"
    ],
    [
      "2413464911114581005865045/81",
      "3875217804444300969479149323996508/729"
    ],
    [
      "23761997077688333533611631/25",
      "-115685119330059075129167890879072550236/125"
    ],
    [
      "31689913326476541035995",
      "991469018012676895343798250541852"
    ],
    [
      "927456386195487768114231/25",
      "346484976797779130761575067111708364/125"
    ],
    [
      "30563560719516142541095",
      "564673766900443723596722891762452"
    ],
    [
      "40261800747159587456095",
      "-3815724159539529946752474590770548"
    ],
    [
      "6036742019310153647048545/81",
      "-12281987102374807993362568733548240742/729"
    ],
    [
      "41999035518773216737249",
      "-4399100752444256227715340299979462"
    ],
    [
      "1460344403821680758751651/49",
      "17096523431845434074964520007243284/343"
    ],
    [
      "3982470222020108884239026259/41209",
      "224657982444896165220731001873006765413576/8365427"
    ],
    [
      "58062930381471091733211979/49",
      "442074363370269766611331451559682228440/343"
    ],
    [
      "12632686298421254435092367286871/215003569",
      "-32955959336276953188825160166852255046739319764/3152597332247"
    ],
    [
      "47109201923753152310471540062764321/312683390761",
      "9755883991063300423273488323375627681696733728598170/174846611129126741"
    ],
    [
      "25158950587241403982937102425495/533656201",
      "76123910515097206518549715287903577211223168252/12327991899301"
    ],
    [
      "213729388527892802076985865043294295/4857743832841",
      "54391500910921953640683054204931817144841571032461628/10706608282152716389"
    ],
    [
      "45537458664476506136024822435431299/17697779089",
      "9715780871901713806326535605407008949768017535946796/2354388645546937"
    ]
  ],
  "submitter": "apkorte",
  "history": [],
  "commentary": "2-isogenous to curve#6088 (the images of its points under the isogeny, moved to the minimal model). Found by Claude (Anthropic) in a scan of the isogeny classes of all leaderboard curves.",
  "created_at": "2026-10-31 11:27:21",
  "updated_at": "2026-10-31 11:27:21"
}