{
  "id": 2714,
  "curve_key": "617025:-96602625",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-12855",
    "115022"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    2,
    2
  ],
  "naive_height": 39.99799446211572,
  "faltings_height": 1.3989481000246298,
  "conductor": "457025",
  "bad_primes": [
    "5",
    "101",
    "181"
  ],
  "discriminant": "130544906640625",
  "regulator": "29.132411229804974879362056813140444227035609",
  "points": [
    [
      "14314/121",
      "-730580/1331"
    ],
    [
      "22734",
      "-3439055"
    ],
    [
      "13354/81",
      "-1203020/729"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "2-isogenous to curve#1525 via the rational 2-torsion point x=-69/4. 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 20:18:58",
  "updated_at": "2026-09-26 20:18:58"
}