{
  "id": 3983,
  "curve_key": "62952719105430126361:211275241586685067652090950915",
  "ainvs": [
    "1",
    "1",
    "0",
    "-1311514981363127632",
    "-244531530160683403869001040"
  ],
  "rank_lower_bound": 11,
  "torsion": [
    2
  ],
  "naive_height": 136.7667468844064,
  "faltings_height": 9.453585316284794,
  "conductor": "1758821889262453385218180898874",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "23",
    "43",
    "67",
    "83",
    "101",
    "193",
    "317",
    "353",
    "977",
    "16349",
    "19867"
  ],
  "discriminant": "118545845533237326614972656669533066216471924208622203152",
  "regulator": "253041255699957.788691526970398351343523233620399095472930895",
  "points": [
    [
      "-276670054616/289",
      "56797615550477612/4913"
    ],
    [
      "-22380438345304/34225",
      "115625022564303204364/6331625"
    ],
    [
      "-2812560992984/6241",
      "-7872910748678879084/493039"
    ],
    [
      "17595952442984/361",
      "73790052943039722596/6859"
    ],
    [
      "-431366649632024/811801",
      "12718159546701983174044/731432701"
    ],
    [
      "-8154937191556/42025",
      "-14051381680239295132/8615125"
    ],
    [
      "-510426158976071/627264",
      "-8369959618106246150423/496793088"
    ],
    [
      "-361882761594117976/1346523025",
      "-464902935279309958041524108/49410662402375"
    ],
    [
      "-3295405887839/3249",
      "-1203684299971941794/185193"
    ],
    [
      "2694210532611583516/1980517009",
      "-1948664578844911889641048436/88138948451527"
    ],
    [
      "4653024132746966824/69239041",
      "10035496754353033477795030412/576138060161"
    ]
  ],
  "submitter": "Odbayar Shinebayar",
  "history": [],
  "commentary": "Unlisted rational-isogeny neighbor of curve#3626 (source contributor: Michael Rubinstein). Source equation and witness provenance are credited to that entry. Exact rank 11: 11 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 04:39:22",
  "updated_at": "2026-10-05 04:39:22"
}