{
  "id": 2371,
  "curve_key": "6396522031201:-15894294521756086801",
  "ainvs": [
    "1",
    "0",
    "0",
    "-133260875650",
    "18396163109922500"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 88.46032657786891,
  "faltings_height": 5.26176768752744,
  "conductor": "152041890",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "61",
    "83"
  ],
  "discriminant": "5259410333280469769930182656000000",
  "regulator": "1.957053754638464229283512176264885915839",
  "points": [
    [
      "-247450",
      "190438850"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-11, q=24; A=(3q-p)(p+q)^3=182351, B=-(p+3q)(p-q)^3=2615375. 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 19:57:25",
  "updated_at": "2026-09-26 19:57:25"
}