{
  "id": 2717,
  "curve_key": "2895361:-4807860641",
  "ainvs": [
    "1",
    "1",
    "1",
    "-60320",
    "5539520"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    2,
    2
  ],
  "naive_height": 44.63586107690959,
  "faltings_height": 1.6244096419398029,
  "conductor": "344955",
  "bad_primes": [
    "3",
    "5",
    "13",
    "29",
    "61"
  ],
  "discriminant": "669340980140625",
  "regulator": "3.8337038863833645162171284002028344686012336",
  "points": [
    [
      "188",
      "-1037"
    ],
    [
      "3148",
      "-177712"
    ],
    [
      "168",
      "-512"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "2-isogenous to curve#1524 via the rational 2-torsion point x=-989/4. 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 20:19:06",
  "updated_at": "2026-09-26 20:19:06"
}