{
  "id": 4601,
  "curve_key": "10850409795897395536535061361:-1129447728521400765089519945918928828629641",
  "ainvs": [
    "1",
    "0",
    "0",
    "-226050204081195740344480445",
    "1307231167270120936892159837761138919025"
  ],
  "rank_lower_bound": 10,
  "torsion": [
    3
  ],
  "family": null,
  "families": [],
  "naive_height": 193.6620010779588,
  "faltings_height": 13.89894381540266,
  "conductor": "26303332385145147029931058721365470",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "41",
    "47",
    "71",
    "79",
    "83",
    "88760043951110467511"
  ],
  "discriminant": "1031068053656890238467237649570324833864386035365113352863466139256000000000000",
  "regulator": "54476736173.07335766364178403751151980095409767524304436299",
  "points": [
    [
      "30873006960658240/3481",
      "29085719107485674750795/205379"
    ],
    [
      "20251377161556316162/2247001",
      "4760587481697251718848587613/3368254499"
    ],
    [
      "17980579292290",
      "-55279851432005824145"
    ],
    [
      "22623488251907410/529",
      "3215835851873355943989785/12167"
    ],
    [
      "1869179367467405085085210/209345596849",
      "-80562924965504361832597810164557015/95784612419082007"
    ],
    [
      "27184800095113842887650/72471169",
      "-4478633084199591299280816472911985/616947061697"
    ],
    [
      "370878909627694930/38809",
      "33973985053317582490497875/7645373"
    ],
    [
      "255930278253763481410/23746129",
      "1282625373350955707047871844535/115714886617"
    ],
    [
      "3009776784184520702994061/316343253136",
      "750100501569274062482000331293225293/177925364666824384"
    ],
    [
      "710721721105429810/80089",
      "-6074519685728176484308115/22665187"
    ]
  ],
  "submitter": "Maksym Voznyy",
  "history": [],
  "commentary": "t = 127/373 for y^2 + (7t^2+309) x y - 91 (t^2-1)(t^2-25)(t^2-121) y = x^3 from https://github.com/Layr-Labs/elliptic-rank-challenge-public/blob/main/submission/board/3-r12-z3k3.ec",
  "created_at": "2026-10-18 22:54:32",
  "updated_at": "2026-10-18 22:54:32"
}