{
  "id": 3938,
  "curve_key": "40359760:189766865600",
  "ainvs": [
    "0",
    "1",
    "0",
    "-840828",
    "-219917852"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "naive_height": 52.54003142085101,
  "faltings_height": 2.3998487689198953,
  "conductor": "341505273100",
  "bad_primes": [
    "2",
    "5",
    "29",
    "61",
    "89",
    "109",
    "199"
  ],
  "discriminant": "17205418144683872000",
  "regulator": "38497.883380855486781516749271888533382157916614024",
  "points": [
    [
      "-736",
      "886"
    ],
    [
      "-6512/9",
      "86174/27"
    ],
    [
      "-376",
      "6574"
    ],
    [
      "1112",
      "14878"
    ],
    [
      "1472",
      "41642"
    ],
    [
      "-1267/4",
      "-30709/8"
    ]
  ],
  "submitter": "Odbayar Shinebayar",
  "history": [],
  "commentary": "Unlisted rational-isogeny neighbor of curve#3756 (source contributor: jesper-petersen). 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 04:30:05",
  "updated_at": "2026-10-05 04:30:05"
}