{
  "id": 3930,
  "curve_key": "35159008:-208358099936",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-732479",
    "241399368"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    4
  ],
  "naive_height": 52.12617424951147,
  "faltings_height": 2.096709861877709,
  "conductor": "5245656",
  "bad_primes": [
    "2",
    "3",
    "13",
    "17",
    "23",
    "43"
  ],
  "discriminant": "28307513583525072",
  "regulator": "179.68366535443249502745887001443920795411368",
  "points": [
    [
      "28513/16",
      "-4337047/64"
    ],
    [
      "316521/625",
      "4376931/15625"
    ],
    [
      "28921/49",
      "1298765/343"
    ]
  ],
  "submitter": "Odbayar Shinebayar",
  "history": [],
  "commentary": "Unlisted rational-isogeny neighbor of curve#3354 (source contributor: David Renshaw). Source equation and witness provenance are credited to that entry. Exact rank 3: 3 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 04:28:23",
  "updated_at": "2026-10-05 04:28:23"
}