{
  "id": 4590,
  "curve_key": "11161312627872996555876081:-37272669862111988560467642630719704521",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-232527346414020761580752",
    "43139664192317377855663276753728179"
  ],
  "rank_lower_bound": 10,
  "torsion": [
    3
  ],
  "family": null,
  "families": [],
  "naive_height": 173.0234874026362,
  "faltings_height": 12.161312146005152,
  "conductor": "110901090159640526928003889351830",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "17",
    "29",
    "41",
    "43",
    "53",
    "59",
    "71",
    "317",
    "18379",
    "236164783"
  ],
  "discriminant": "675625645889744332227226112360925940110869564263781929625242176000000",
  "regulator": "212160252036.6263297289490752485230929514550740105674507037",
  "points": [
    [
      "213400928388332834437/37933281",
      "3106318953654542732957098433039/233631077679"
    ],
    [
      "126422598382568133/418609",
      "-5810658937004713852843537/270840023"
    ],
    [
      "13909954187031798757/7458361",
      "50292803962460446527558860371/20368783891"
    ],
    [
      "1491460286320293/4489",
      "-15215604271393476980597/300763"
    ],
    [
      "705776949693731502273/2436705769",
      "1133473742054155774890084054547/120283106875147"
    ],
    [
      "22660656659798237077/34680321",
      "-84251702972569390297258176511/204232410369"
    ],
    [
      "280398260414810673/76729",
      "147246134391771798238994473/21253933"
    ],
    [
      "2834391966434549949877/5800193281",
      "94952869547354012153477301332599/441736920087679"
    ],
    [
      "121755353860316629653/416690569",
      "101843470319606798297601249157/8505904584997"
    ],
    [
      "59346198879770509449/205951201",
      "-23316953350642028352747996973/2955605685551"
    ]
  ],
  "submitter": "Maksym Voznyy",
  "history": [],
  "commentary": "t = 75/157 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 15:04:13",
  "updated_at": "2026-10-18 15:04:13"
}