{
  "id": 3937,
  "curve_key": "55086016:-407846586880",
  "ainvs": [
    "0",
    "1",
    "0",
    "-1147625",
    "471662119"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "naive_height": 53.473219346426326,
  "faltings_height": 2.263347168469759,
  "conductor": "323366397056",
  "bad_primes": [
    "2",
    "17",
    "73",
    "89",
    "257"
  ],
  "discriminant": "473367014391160832",
  "regulator": "49559.627401422329610116803741163084673567885378670",
  "points": [
    [
      "2802",
      "-138791"
    ],
    [
      "2274",
      "-98113"
    ],
    [
      "5853/4",
      "-351227/8"
    ],
    [
      "1122",
      "-24449"
    ],
    [
      "2661/4",
      "13991/8"
    ],
    [
      "2901/4",
      "-36961/8"
    ]
  ],
  "submitter": "Odbayar Shinebayar",
  "history": [],
  "commentary": "Unlisted rational-isogeny neighbor of curve#3757 (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 04:29:55",
  "updated_at": "2026-10-05 04:29:55"
}