{
  "id": 2578,
  "curve_key": "-50448500639:26906953155813359",
  "ainvs": [
    "1",
    "0",
    "0",
    "1051010430",
    "-31142219309100"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    8
  ],
  "naive_height": 75.66232225949321,
  "faltings_height": 4.3803459167608425,
  "conductor": "249690",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "29",
    "41"
  ],
  "discriminant": "-493274390082338961058364010000",
  "regulator": "9.491229236603796558080511727766080126232",
  "points": [
    [
      "1035780/49",
      "243669390/343"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "2-isogenous to curve#1079 via the rational 2-torsion point x=-10460. Independent witness points are the images of that curve's witnesses under the degree-2 isogeny.",
  "created_at": "2026-09-26 20:10:29",
  "updated_at": "2026-09-26 20:10:29"
}