{
  "id": 2636,
  "curve_key": "4590679074529:-5548733695932718033",
  "ainvs": [
    "1",
    "0",
    "0",
    "-95639147386",
    "6422137511474660"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    6,
    2
  ],
  "naive_height": 87.46514722673543,
  "faltings_height": 5.334075793199857,
  "conductor": "77008470",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "17",
    "37",
    "53"
  ],
  "discriminant": "38169594995437255265353580779929600",
  "regulator": "13.5273967452256298857202996784051452730323",
  "points": [
    [
      "-337384",
      "17066930"
    ],
    [
      "-229996",
      "127599926"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-37, q=16; A=(3q-p)(p+q)^3=-787185, B=-(p+3q)(p-q)^3=1637647. 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 20:14:20",
  "updated_at": "2026-09-26 20:14:20"
}