{
  "id": 2573,
  "curve_key": "1209629761:-42070552854625",
  "ainvs": [
    "1",
    "0",
    "0",
    "-25200620",
    "48690669456"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    10
  ],
  "naive_height": 62.740740501264575,
  "faltings_height": 2.7995972432847562,
  "conductor": "32718",
  "bad_primes": [
    "2",
    "3",
    "7",
    "19",
    "41"
  ],
  "discriminant": "2244956575342666752",
  "regulator": "3.519231878892935649110769594843047170222",
  "points": [
    [
      "9376",
      "-802604"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "2-isogenous to curve#1729 via the rational 2-torsion point x=-1448. Independent witness points are the images of that curve's witnesses under the degree-2 isogeny.",
  "created_at": "2026-09-26 20:10:10",
  "updated_at": "2026-09-26 20:10:10"
}