{
  "id": 3955,
  "curve_key": "122679095448928994416:-1330152165420483859390500593536",
  "ainvs": [
    "0",
    "1",
    "0",
    "-2555814488519354050",
    "1539527968384732970714035448"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    2,
    2
  ],
  "naive_height": 138.76831091956646,
  "faltings_height": 9.462568141239691,
  "conductor": "6913619279132804573280",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "29",
    "41",
    "59",
    "67",
    "97",
    "137",
    "419",
    "50033"
  ],
  "discriminant": "44580606737138363511524505735362643317555585630049000000",
  "regulator": "608753261.157211326494473693247462725790603814977961624",
  "points": [
    [
      "-3447468967771/3844",
      "-13291647002705364975/238328"
    ],
    [
      "-1685096614",
      "-32579214431940"
    ],
    [
      "8733770057546/8281",
      "-3119040821660454900/753571"
    ],
    [
      "6629833910309/33124",
      "194040763471390600575/6028568"
    ],
    [
      "35503141176826/53361",
      "142461734718091050100/12326391"
    ],
    [
      "3983274729872474/3751969",
      "-34651349232624230241780/7267563953"
    ],
    [
      "-1442256325831/784",
      "-86886571908004875/21952"
    ],
    [
      "9228424270589666/11566801",
      "113078898344968242310800/39338690201"
    ]
  ],
  "submitter": "Odbayar Shinebayar",
  "history": [],
  "commentary": "Unlisted rational-isogeny neighbor of curve#3668 (source contributor: Michael Rubinstein). Source equation and witness provenance are credited to that entry. Exact rank 8: 8 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 04:33:45",
  "updated_at": "2026-10-05 04:33:45"
}