{
  "id": 2255,
  "curve_key": "4419295664775049:-293784114525412780601893",
  "ainvs": [
    "1",
    "0",
    "1",
    "-92068659682814",
    "340027902657950559536"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 108.07427017932476,
  "faltings_height": 6.602107871194178,
  "conductor": "5232570630",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "29",
    "47",
    "101",
    "181"
  ],
  "discriminant": "294042958254359871457597048359139406400",
  "regulator": "5.746426042496760396031564833649876239828",
  "points": [
    [
      "5667789",
      "519924733"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-40, q=47; A=(3q-p)(p+q)^3=62083, B=-(p+3q)(p-q)^3=66508803. The listed points are independent modulo torsion by the exact 2-descent Kummer squareclass map. The rank is a proven lower bound; no upper bound is claimed.",
  "created_at": "2026-09-26 19:50:05",
  "updated_at": "2026-09-26 19:50:05"
}