{
  "id": 2575,
  "curve_key": "8433:701271",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-176",
    "-768"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    2
  ],
  "naive_height": 27.119723578723924,
  "faltings_height": 0.23093968220566738,
  "conductor": "117",
  "bad_primes": [
    "3",
    "13"
  ],
  "discriminant": "62462907",
  "regulator": "0.2825839065448877516621881274701594809949",
  "points": [
    [
      "-6",
      "-4"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "2-isogenous to curve#1138 via the rational 2-torsion point x=5. 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 20:10:18",
  "updated_at": "2026-09-26 20:10:18"
}