{
  "id": 3936,
  "curve_key": "14858896273712221849:-57276938781220996375734015613",
  "ainvs": [
    "1",
    "0",
    "1",
    "-309560339035671289",
    "66292753193209087922645466"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    6
  ],
  "naive_height": 132.43539130631459,
  "faltings_height": 8.542613930220952,
  "conductor": "79182482567274710",
  "bad_primes": [
    "2",
    "5",
    "13",
    "17",
    "23",
    "31",
    "37",
    "103",
    "113",
    "116689"
  ],
  "discriminant": "243614968810567548719341565486758776559493830010",
  "regulator": "16669686.620474272961722705145753147726607757175043",
  "points": [
    [
      "1286296011/4",
      "-85886949269/8"
    ],
    [
      "70070563791774/218089",
      "-12538261265553497/101847563"
    ],
    [
      "41546478786384/17161",
      "261265762890687873363/2248091"
    ],
    [
      "17643543024/49",
      "-421933119992854/343"
    ],
    [
      "3994655839307679/12432676",
      "-57249385387188813033/43837615576"
    ],
    [
      "6311560795625194746/19635015625",
      "-18102386253489785723830831/2751356564453125"
    ]
  ],
  "submitter": "Odbayar Shinebayar",
  "history": [],
  "commentary": "Unlisted rational-isogeny neighbor of curve#3712 (source contributor: Michael Rubinstein). Source equation and witness provenance are credited to that entry. Exact rank 6: 6 independent points certified by the unchanged ICARM verifier, with a matching unconditional upper bound computed using PARI/GP 2.17.2 ellrank. This is an additional representative of a known isogeny class, not a claim of a new world rank record.",
  "created_at": "2026-10-05 04:29:44",
  "updated_at": "2026-10-05 04:29:44"
}