{
  "id": 3932,
  "curve_key": "204841:-1894132565",
  "ainvs": [
    "1",
    "1",
    "0",
    "-4267",
    "2190505"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2
  ],
  "naive_height": 42.72405364268244,
  "faltings_height": 1.6181552292820747,
  "conductor": "1171856478",
  "bad_primes": [
    "2",
    "3",
    "13",
    "17",
    "157",
    "433"
  ],
  "discriminant": "-2071263356003868",
  "regulator": "1633.85979137581112073116516423238385925739606364",
  "points": [
    [
      "41",
      "1424"
    ],
    [
      "729",
      "19312"
    ],
    [
      "2721",
      "140575"
    ],
    [
      "-121",
      "1037"
    ],
    [
      "69",
      "1459"
    ]
  ],
  "submitter": "Odbayar Shinebayar",
  "history": [],
  "commentary": "Unlisted rational-isogeny neighbor of curve#3905 (source contributor: 7fff-zip). Source equation and witness provenance are credited to that entry. Exact rank 5: 5 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 04:28:44",
  "updated_at": "2026-10-05 04:28:44"
}