{
  "id": 2520,
  "curve_key": "-64367:-15652441",
  "ainvs": [
    "1",
    "0",
    "0",
    "1341",
    "18228"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    2
  ],
  "naive_height": 33.217069075196974,
  "faltings_height": 0.8876692291868875,
  "conductor": "429",
  "bad_primes": [
    "3",
    "11",
    "13"
  ],
  "discriminant": "-296110251723",
  "regulator": "0.5288632991098759237756016149884732720130",
  "points": [
    [
      "17",
      "-223"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "2-isogenous to curve#2075 via the rational 2-torsion point x=6. 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 20:06:42",
  "updated_at": "2026-09-26 20:06:42"
}