{
  "id": 3078,
  "curve_key": "3036475879696:-4789556624798429120",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-63259914160",
    "5543489402376976"
  ],
  "rank_lower_bound": 9,
  "torsion": [
    2
  ],
  "naive_height": 86.22515612638962,
  "faltings_height": 5.156582522755808,
  "conductor": "72554931074823247344",
  "bad_primes": [
    "2",
    "3",
    "7",
    "47",
    "59",
    "71",
    "79",
    "139",
    "227",
    "239",
    "263"
  ],
  "discriminant": "2926515641564652838858448953869312",
  "regulator": "4008772.0548969264540429412761373518095351495073651467537",
  "points": [
    [
      "543941",
      "363414834"
    ],
    [
      "2781086901/5041",
      "133227380447714/357911"
    ],
    [
      "2929296",
      "4995583844"
    ],
    [
      "102212949/529",
      "-281160683762/12167"
    ],
    [
      "100564",
      "14100528"
    ],
    [
      "-26021300/5329",
      "29759847934992/389017"
    ],
    [
      "-284564",
      "22402176"
    ],
    [
      "80880",
      "30920924"
    ],
    [
      "391788",
      "-202231232"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "2-isogenous to curve#1246 via the rational 2-torsion point x=-360663. 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 20:36:15",
  "updated_at": "2026-09-26 20:36:15"
}