{
  "id": 3950,
  "curve_key": "10986656990634776808721:-1143731548296495146842552824099481",
  "ainvs": [
    "1",
    "0",
    "0",
    "-228888687304891183515",
    "1323763366064832362681250762600"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    2,
    2
  ],
  "naive_height": 152.25290546562283,
  "faltings_height": 10.536561496554643,
  "conductor": "17261904761372158878705",
  "bad_primes": [
    "3",
    "5",
    "11",
    "13",
    "19",
    "43",
    "71",
    "151",
    "163",
    "337",
    "739",
    "1741"
  ],
  "discriminant": "10440107546791480674862006427899703091788213355267860485280625",
  "regulator": "1372500091.03567767373765983152549505327948672227970178",
  "points": [
    [
      "-4700950600",
      "-1515211089600160"
    ],
    [
      "129700249973085/21904",
      "1360213434543544418145/3241792"
    ],
    [
      "35378233447125/4624",
      "-44920569372713538195/314432"
    ],
    [
      "122216640093996345/22505536",
      "52405367514696862109217105/106766262784"
    ],
    [
      "22849998162345/3136",
      "-36348922548517158105/175616"
    ],
    [
      "549159928500/49",
      "-139844513391042930/343"
    ],
    [
      "281206670766477/13456",
      "3715903644014179346931/1560896"
    ],
    [
      "1345009833252905/341056",
      "-138343963478812099373735/199176704"
    ]
  ],
  "submitter": "Odbayar Shinebayar",
  "history": [],
  "commentary": "Unlisted rational-isogeny neighbor of curve#3670 (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 04:32:48",
  "updated_at": "2026-10-05 04:32:48"
}