{
  "id": 2757,
  "curve_key": "3641372721:-22300175705769",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-75861932",
    "25829354031"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2,
    2
  ],
  "naive_height": 66.04687970596979,
  "faltings_height": 3.5715184145162375,
  "conductor": "912967290",
  "bad_primes": [
    "2",
    "3",
    "5",
    "19",
    "23",
    "139",
    "167"
  ],
  "discriminant": "27653837242943681372160000",
  "regulator": "20.34026524089422894190746455272265572079768067",
  "points": [
    [
      "9081",
      "-297331"
    ],
    [
      "8549",
      "40869"
    ],
    [
      "39221",
      "-7594731"
    ],
    [
      "236321",
      "-114922431"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "2-isogenous to curve#1602 via the rational 2-torsion point x=71003/4. Independent witness points are the images of that curve's witnesses under the degree-2 isogeny. Witnesses saturated by exact rational halves of published and transported relations; quadratic-character independence is certified.",
  "created_at": "2026-09-26 20:21:04",
  "updated_at": "2026-09-26 20:21:04"
}