{
  "id": 2390,
  "curve_key": "3947977814929:7615076600850045767",
  "ainvs": [
    "1",
    "0",
    "0",
    "-82249537811",
    "-8813752919926815"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 87.0126738544953,
  "faltings_height": 5.164817901434744,
  "conductor": "84584010",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "17",
    "19",
    "29",
    "43"
  ],
  "discriminant": "2052012954057154341796000189569600",
  "regulator": "5.424744166050373990494066665202011624599",
  "points": [
    [
      "-179816",
      "12814081"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-43, q=14; A=(3q-p)(p+q)^3=-2073065, B=-(p+3q)(p-q)^3=-185193. 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 19:58:35",
  "updated_at": "2026-09-26 19:58:35"
}