{
  "id": 4309,
  "curve_key": "-404445585527:64736510386961179",
  "ainvs": [
    "1",
    "1",
    "0",
    "8425949699",
    "-74923005839201"
  ],
  "rank_lower_bound": 9,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 80.1773491247849,
  "faltings_height": 4.754489735323538,
  "conductor": "293853198970733402778",
  "bad_primes": [
    "2",
    "3",
    "61",
    "73",
    "79",
    "97",
    "109",
    "673",
    "1993",
    "9817"
  ],
  "discriminant": "-40710937827538684703980712126058",
  "regulator": "316229537325.91491170193279157635812893796091640924622113",
  "points": [
    [
      "16603913/64",
      "71564294953/512"
    ],
    [
      "5079759/4",
      "11473509767/8"
    ],
    [
      "27516891/625",
      "304799920361/15625"
    ],
    [
      "72672939/625",
      "776728252313/15625"
    ],
    [
      "2351543580697/18740241",
      "4407289711064825876/81126503289"
    ],
    [
      "3616981/225",
      "27116490076/3375"
    ],
    [
      "1067551838760203/82841503684",
      "142509573081657413000647/23843607273336248"
    ],
    [
      "139638137346805681/11427915470400",
      "210862332341312320855850269/38632296805996608000"
    ],
    [
      "139709730353231/3825298801",
      "3965427802258550619701/236590905543049"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "Daniel Błażewicz",
      "at": "2026-10-17 09:48:23"
    }
  ],
  "commentary": "Rational 2-isogeny of 2-9.ec from Layr Labs / Yukon Elliptic Rank Challenge via pCwOrM Werr Algebraic Sieve.",
  "created_at": "2026-10-17 09:47:29",
  "updated_at": "2026-10-17 09:48:23"
}