{
  "id": 3943,
  "curve_key": "21188237245894960801:-97114043104095734371726600049",
  "ainvs": [
    "1",
    "1",
    "1",
    "-441421609289478350",
    "112400512668036984985549067"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2,
    2
  ],
  "naive_height": 133.49993356408362,
  "faltings_height": 8.95441808973677,
  "conductor": "1906431864891437910",
  "bad_primes": [
    "2",
    "3",
    "5",
    "13",
    "37",
    "53",
    "89",
    "157",
    "173",
    "317",
    "3253"
  ],
  "discriminant": "46955713877915284618309136209582653345733017600000000",
  "regulator": "150428755.8222117519301800528286494354996614132234945",
  "points": [
    [
      "17786926737",
      "-2370577515863369"
    ],
    [
      "5337407637",
      "-387053048839469"
    ],
    [
      "21292787713/49",
      "-557174926485967/343"
    ],
    [
      "379694840548119649/666414225",
      "-116499600886443891547709887/17203483218375"
    ],
    [
      "894864998675883697/728514081",
      "-741905626711223769834212999/19663323560271"
    ],
    [
      "489577310233/9",
      "-342531574083504563/27"
    ],
    [
      "2094546776833/5184",
      "32053347593348563/373248"
    ]
  ],
  "submitter": "Odbayar Shinebayar",
  "history": [],
  "commentary": "Unlisted rational-isogeny neighbor of curve#3665 (source contributor: Michael Rubinstein). Source equation and witness provenance are credited to that entry. Exact rank 7: 7 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 04:31:20",
  "updated_at": "2026-10-05 04:31:20"
}