{
  "id": 4310,
  "curve_key": "3750761473010952673:-7101057513137451214068125425",
  "ainvs": [
    "1",
    "0",
    "0",
    "-78140864021061514",
    "8218816559619570607120019"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    2,
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 128.30547165819283,
  "faltings_height": 8.593536523780259,
  "conductor": "975919424884519423407",
  "bad_primes": [
    "3",
    "11",
    "19",
    "31",
    "37",
    "73",
    "79",
    "127",
    "397",
    "733",
    "6367"
  ],
  "discriminant": "1355027986931801654571132459855357820269268608208689",
  "regulator": "126713907.918079679679454246081602464607809616925607795",
  "points": [
    [
      "202230830",
      "828766452653"
    ],
    [
      "4400717470/9",
      "-251727179634041/27"
    ],
    [
      "75174832895/196",
      "-16157623183571717/2744"
    ],
    [
      "555148304510/1681",
      "295877677289361553/68921"
    ],
    [
      "4616803886/25",
      "-36753454074131/125"
    ],
    [
      "4149446330",
      "-266701811451733"
    ],
    [
      "100968021995/484",
      "-10629143699133331/10648"
    ],
    [
      "5846018971934/21025",
      "-8616997508945176063/3048625"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "Daniel Błażewicz",
      "at": "2026-10-17 09:48:24"
    }
  ],
  "commentary": "Rational 2-isogeny of 4-8.ec from Layr Labs / Yukon Elliptic Rank Challenge via pCwOrM Werr Algebraic Sieve.",
  "created_at": "2026-10-17 09:47:38",
  "updated_at": "2026-10-17 09:48:24"
}