{
  "id": 2760,
  "curve_key": "2760789025:144794654707375",
  "ainvs": [
    "1",
    "1",
    "1",
    "-57516438",
    "-167610371094"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2,
    2
  ],
  "naive_height": 65.21634706332945,
  "faltings_height": 3.230773137809419,
  "conductor": "402396225",
  "bad_primes": [
    "3",
    "5",
    "7",
    "11",
    "59",
    "1181"
  ],
  "discriminant": "44629950222102828515625",
  "regulator": "221.8348657828771391093937968281392287558977405",
  "points": [
    [
      "20275",
      "2635862"
    ],
    [
      "-40181/9",
      "452650/27"
    ],
    [
      "154780",
      "-60896803"
    ],
    [
      "-18025/4",
      "95271/8"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "2-isogenous to curve#1508 via the rational 2-torsion point x=2265. 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 20:21:12",
  "updated_at": "2026-09-26 20:21:12"
}