{
  "id": 2419,
  "curve_key": "8418455114161:-24424734931448964841",
  "ainvs": [
    "1",
    "0",
    "0",
    "-175384481545",
    "28269354518248025"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 89.2843423476614,
  "faltings_height": 5.110364814333639,
  "conductor": "42372330",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "83"
  ],
  "discriminant": "29798193820909032874996641000000",
  "regulator": "1.997911245119120524433475495483245970218",
  "points": [
    [
      "-465010",
      "96533255"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-17, q=22; A=(3q-p)(p+q)^3=10375, B=-(p+3q)(p-q)^3=2906631. 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 20:00:25",
  "updated_at": "2026-09-26 20:00:25"
}