{
  "id": 2463,
  "curve_key": "525062041441:-380333060056175761",
  "ainvs": [
    "1",
    "0",
    "0",
    "-10938792530",
    "440199389424900"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 80.96034680018805,
  "faltings_height": 4.483123644466754,
  "conductor": "720390",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "37",
    "59"
  ],
  "discriminant": "58561925617601384546304000000",
  "regulator": "3.689412024540699246080539740952396765644",
  "points": [
    [
      "-99380",
      "23411710"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-11, q=16; A=(3q-p)(p+q)^3=7375, B=-(p+3q)(p-q)^3=728271. 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 20:03:08",
  "updated_at": "2026-09-26 20:03:08"
}