{
  "id": 4602,
  "curve_key": "9384123544972025443608215041:-909002895049817864194461333431470171004161",
  "ainvs": [
    "1",
    "0",
    "0",
    "-195502573853583863408504480",
    "1052086684085421050936509115038547174400"
  ],
  "rank_lower_bound": 10,
  "torsion": [
    3
  ],
  "family": null,
  "families": [],
  "naive_height": 193.22645036278567,
  "faltings_height": 13.78122069914489,
  "conductor": "2713500159794080585317568047438570",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "19",
    "23",
    "37",
    "43",
    "109",
    "157",
    "469411",
    "16178695076899"
  ],
  "discriminant": "55735089022046527477386371369459756769961277836259210683757794428715008000000",
  "regulator": "30521623461.99650946863390031281234987599995733942352326840",
  "points": [
    [
      "2457782107090240/289",
      "10461980973246640849760/4913"
    ],
    [
      "22031913613141894423360/2469195481",
      "-521328299276796741816331138240480/122696792646371"
    ],
    [
      "26575489077105559360/2550409",
      "49269439879634498778382209760/4073003173"
    ],
    [
      "315812906904185288602060/33599256601",
      "-41270669163512376123811603515220880/6158777334219901"
    ],
    [
      "610435146233039252953240/15864158209",
      "-449035364591171797363625123386379360/1998138318898177"
    ],
    [
      "27890915652859094080/3433609",
      "32959071188763310247844320/6362477477"
    ],
    [
      "713520898113951760/85849",
      "29033202906740132575727840/25153757"
    ],
    [
      "9088005102266104/289",
      "-792209466783035926325344/4913"
    ],
    [
      "9863367640000",
      "-9129118631680990880"
    ],
    [
      "1649731804202321560/192721",
      "203960093767226798787929080/84604519"
    ]
  ],
  "submitter": "Maksym Voznyy",
  "history": [],
  "commentary": "t = 269/359 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 22:59:47",
  "updated_at": "2026-10-18 22:59:47"
}