{
  "id": 2303,
  "curve_key": "59916364780801:436543431819010588799",
  "ainvs": [
    "1",
    "0",
    "0",
    "-1248257599600",
    "-505258705663840000"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 95.17191235625997,
  "faltings_height": 5.878355739337686,
  "conductor": "20930910",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "41"
  ],
  "discriminant": "14194346213134336352363321757696000000",
  "regulator": "4.667474103280524202821019743216159450975",
  "points": [
    [
      "-2075005/4",
      "416155735/8"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-1, q=40; A=(3q-p)(p+q)^3=7177599, B=-(p+3q)(p-q)^3=8201599. 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 19:53:12",
  "updated_at": "2026-09-26 19:53:12"
}