{
  "id": 3934,
  "curve_key": "2048653042242695782201:-92726174921004501663763201488301",
  "ainvs": [
    "1",
    "0",
    "1",
    "-42680271713389495463",
    "107321961710568891319906432656"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    6
  ],
  "naive_height": 147.2144084325213,
  "faltings_height": 9.825816755197398,
  "conductor": "169544208072571930",
  "bad_primes": [
    "2",
    "5",
    "13",
    "17",
    "31",
    "73",
    "1609",
    "1699",
    "12401"
  ],
  "discriminant": "6290547316925032516619201576664998874497575219359031250",
  "regulator": "50033366.887278857591816188660459919137037651019750",
  "points": [
    [
      "7330301896431089/506944",
      "572239539587879685673037/360944128"
    ],
    [
      "114418398534582011/8213956",
      "-35041767429169035765765901/23541197896"
    ],
    [
      "11385273921069127370/2015201881",
      "-19512974808242450783617035218/90464427639971"
    ],
    [
      "10311436452230/841",
      "29136387008350049743/24389"
    ],
    [
      "471179619531131470/114254721",
      "-46449917427695774268182402/1221268712769"
    ],
    [
      "523195311365615702570/138619948489",
      "-2175001037509139043436852009/51610563361579013"
    ]
  ],
  "submitter": "Odbayar Shinebayar",
  "history": [],
  "commentary": "Unlisted rational-isogeny neighbor of curve#3715 (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 04:29:24",
  "updated_at": "2026-10-05 04:29:24"
}