{
  "id": 3933,
  "curve_key": "209589730477235969841009:-95931877432392291506452315857571977",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-4366452718275749371688",
    "111032265547841950571296154770667"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    6
  ],
  "naive_height": 161.0983167249204,
  "faltings_height": 11.144578448989908,
  "conductor": "65902957246370790",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "19",
    "37",
    "53",
    "101",
    "113",
    "127",
    "149"
  ],
  "discriminant": "2258222024882152732195838831795961702785046543130343713957478400",
  "regulator": "4143133.8288675508971301000693543854320466430441017",
  "points": [
    [
      "3457672937437/1681",
      "-696271208470255242703/68921"
    ],
    [
      "-5601739562768706323/123676641",
      "20208918358804826528326526857/1375407924561"
    ],
    [
      "42567069647444473/1937664",
      "13676522340034607344680245/2697228288"
    ],
    [
      "4163555848357/121",
      "-1644272381848514085/1331"
    ],
    [
      "8773511638909/225",
      "-815074181842187353/3375"
    ],
    [
      "2837291973927658237/71250481",
      "-329720736874176203568737503/601425310121"
    ]
  ],
  "submitter": "Odbayar Shinebayar",
  "history": [],
  "commentary": "Unlisted rational-isogeny neighbor of curve#3711 (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 04:28:54",
  "updated_at": "2026-10-05 04:28:54"
}