{
  "id": 3984,
  "curve_key": "34598540334422189200:-230127072550781667058598840000",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-720802923633795608",
    "266350778655524200306865712"
  ],
  "rank_lower_bound": 11,
  "torsion": [
    2
  ],
  "naive_height": 135.2168583130952,
  "faltings_height": 9.247725746443027,
  "conductor": "43316108595835552276361984400",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "43",
    "191",
    "199",
    "227",
    "263",
    "269",
    "421",
    "449",
    "1571"
  ],
  "discriminant": "-6679384062133394302819553246171750519350663802304000000",
  "regulator": "16420647530494.2089678650209534560278862150191163009794713347",
  "points": [
    [
      "4133892628/9",
      "153155533731200/27"
    ],
    [
      "910564717",
      "19104655581550"
    ],
    [
      "-61579850511/64",
      "4256237025305001/512"
    ],
    [
      "1035000996",
      "25080672031008"
    ],
    [
      "168503654485252/80089",
      "2035232516846019147488/22665187"
    ],
    [
      "69493804708",
      "18318372842125664"
    ],
    [
      "10077117498373/45369",
      "104620621637406846950/9663597"
    ],
    [
      "20200944741/25",
      "1817892438597114/125"
    ],
    [
      "440842737093828/3575881",
      "90560773856920067445024/6761990971"
    ],
    [
      "2034754261588/4761",
      "1980792618826890176/328509"
    ],
    [
      "-15078160279576412/16265089",
      "770281040914559571332000/65597103937"
    ]
  ],
  "submitter": "Odbayar Shinebayar",
  "history": [],
  "commentary": "Unlisted rational-isogeny neighbor of curve#3622 (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 04:39:32",
  "updated_at": "2026-10-05 04:39:32"
}