{
  "id": 3935,
  "curve_key": "41365556168473734265:-260677950278078448928959632461",
  "ainvs": [
    "1",
    "0",
    "1",
    "-861782420176536131",
    "301710590527812632727140082"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    6
  ],
  "naive_height": 135.5069406954977,
  "faltings_height": 9.188776750158434,
  "conductor": "1469940702224254",
  "bad_primes": [
    "2",
    "13",
    "19",
    "23",
    "29",
    "31",
    "37",
    "97",
    "101",
    "397"
  ],
  "discriminant": "1636569153702111649585114649544148237065810930973810268",
  "regulator": "889853.28846175147415382725509290152801855044724451",
  "points": [
    [
      "-261362500462/289",
      "90781430955918524/4913"
    ],
    [
      "-5028102334/625",
      "274503822397013836/15625"
    ],
    [
      "81959694848/289",
      "-43976921850416818/4913"
    ],
    [
      "-117461638",
      "-20032822220687"
    ],
    [
      "687720962",
      "-5857761841487"
    ],
    [
      "-7422474789784/7225",
      "-6225996475924779491/614125"
    ]
  ],
  "submitter": "Odbayar Shinebayar",
  "history": [],
  "commentary": "Unlisted rational-isogeny neighbor of curve#3708 (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 04:29:34",
  "updated_at": "2026-10-05 04:29:34"
}