{
  "id": 2542,
  "curve_key": "400:4544",
  "ainvs": [
    "0",
    "1",
    "0",
    "-8",
    "-8"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    2
  ],
  "naive_height": 17.974393641323946,
  "faltings_height": -0.45720039901389914,
  "conductor": "224",
  "bad_primes": [
    "2",
    "7"
  ],
  "discriminant": "25088",
  "regulator": "0.3935482296911246208047523735113536041983",
  "points": [
    [
      "-2",
      "2"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "2-isogenous to curve#1796 via the rational 2-torsion point x=0. 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 20:08:05",
  "updated_at": "2026-09-26 20:08:05"
}