{
  "id": 2339,
  "curve_key": "20402995172569:-91496017128275575453",
  "ainvs": [
    "1",
    "0",
    "1",
    "-425062399429",
    "105898132550674556"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 91.94010848455845,
  "faltings_height": 5.512762730674853,
  "conductor": "142486890",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "19",
    "41",
    "67"
  ],
  "discriminant": "70534034587332786446414562771656100",
  "regulator": "8.297102343981355045623689847082818766954",
  "points": [
    [
      "-868853/4",
      "3469391179/8"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-14, q=27; A=(3q-p)(p+q)^3=208715, B=-(p+3q)(p-q)^3=4617707. 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 19:55:25",
  "updated_at": "2026-09-26 19:55:25"
}