{
  "id": 4639,
  "curve_key": "222387580957160982120225841:-3318645087339773585435452607237998344361",
  "ainvs": [
    "1",
    "0",
    "0",
    "-4633074603274187127504705",
    "3841024406642870375074093594635206025"
  ],
  "rank_lower_bound": 10,
  "torsion": [
    3
  ],
  "family": null,
  "families": [],
  "naive_height": 182.00075044035043,
  "faltings_height": 12.926202205257132,
  "conductor": "305531675428447570189919539286670",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "31",
    "53",
    "59",
    "71",
    "103",
    "149",
    "265718861",
    "3987491731"
  ],
  "discriminant": "-8653062483403419430722074086994215860278532641502956844450678661632000000",
  "regulator": "180166793913.2215501571147720429338973901922537070778846470",
  "points": [
    [
      "167906719711852410/121801",
      "11554010739585700431125655/42508549"
    ],
    [
      "-275160045403265700/157609",
      "-160849275348108442041228435/62570773"
    ],
    [
      "82970187915799769610/74666881",
      "-164264546226939900956690986005/645196518721"
    ],
    [
      "147168717202173090/117649",
      "2157665762666593242738165/40353607"
    ],
    [
      "6111714389141562678010/5994011241",
      "-195262893324859705390125701023705/464062344289461"
    ],
    [
      "2962510499506602458010/2622566521",
      "-29684165159061559471803837611055/134304254106931"
    ],
    [
      "42951193691132458769790/9821404609",
      "7979991588556130462186263432060065/973330660965727"
    ],
    [
      "82372433014252560/32041",
      "17130754304490654022609455/5735339"
    ],
    [
      "-2337463598027190/961",
      "-25279245192859199849355/29791"
    ],
    [
      "3216316104524293168890/2855512969",
      "34634244476649600696162790844535/152590046524453"
    ]
  ],
  "submitter": "Maksym Voznyy",
  "history": [],
  "commentary": "t = 799/181 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": "2026-10-19 09:18:40",
  "updated_at": "2026-10-19 09:18:40"
}