{
  "id": 2245,
  "curve_key": "1073297723923881:-35150053059093888499221",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-22360369248414",
    "40682937371450979348"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 103.82853686634033,
  "faltings_height": 6.389354321741913,
  "conductor": "219565710",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "17",
    "19",
    "83"
  ],
  "discriminant": "508337304751811587722222425021604000000",
  "regulator": "8.458088842867267101995887799847010035909",
  "points": [
    [
      "11836551/4",
      "5216985663/8"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-48, q=35; A=(3q-p)(p+q)^3=-336141, B=-(p+3q)(p-q)^3=32591859. 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 19:49:28",
  "updated_at": "2026-09-26 19:49:28"
}