{
  "id": 4605,
  "curve_key": "352770094721969404444622641:-6623793330052402599817702948464970123561",
  "ainvs": [
    "1",
    "0",
    "0",
    "-7349376973374362592596305",
    "7666427465337816486893078697173962025"
  ],
  "rank_lower_bound": 10,
  "torsion": [
    3
  ],
  "family": null,
  "families": [],
  "naive_height": 183.3835763606089,
  "faltings_height": 13.013369496417889,
  "conductor": "227330267084502693153717914909670",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "31",
    "107",
    "167",
    "179",
    "5881",
    "7666573",
    "1693302313"
  ],
  "discriminant": "15306761109738019796410098450619478031029656894987770899017527971328000000",
  "regulator": "135121848632.9305955892836954322529660778471185736103653718",
  "points": [
    [
      "12076066220539690/7921",
      "51656109677383143253235/704969"
    ],
    [
      "7777617955195482890/7856809",
      "25693835644972542145871687465/22022635627"
    ],
    [
      "4774750648202811459770/95981209",
      "329453208157704507306710634576175/940327904573"
    ],
    [
      "-7411480436025666976774/4730550841",
      "-1274123596667639263333879205261887/325362556293139"
    ],
    [
      "20583032271278223868610/12957496561",
      "23610078091115801757571439761045/1474964791035191"
    ],
    [
      "22519184257545657878090/14111776849",
      "77044416339634135359239975878915/1676380307223257"
    ],
    [
      "112572107744222479132730/73127517241",
      "-557460217772098817049835141977025/19775216339828461"
    ],
    [
      "374262709475348699549/212343184",
      "1342581556450159688039517796031/3094264877248"
    ],
    [
      "4105783590567785930/2765569",
      "-764771406090033832433240155/4599141247"
    ],
    [
      "-131012347422139510/82369",
      "-92564997775228315229499515/23639903"
    ]
  ],
  "submitter": "Maksym Voznyy",
  "history": [],
  "commentary": "t = 131/241 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 23:22:46",
  "updated_at": "2026-10-18 23:22:46"
}