{
  "id": 2374,
  "curve_key": "6102068470369:6772134128897976047",
  "ainvs": [
    "1",
    "0",
    "0",
    "-127126426466",
    "-7838128798611900"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 88.31894676939515,
  "faltings_height": 5.414576236369584,
  "conductor": "6926010",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "43",
    "59"
  ],
  "discriminant": "104948021408669982472902847915622400",
  "regulator": "6.795868571067229308251298225621706514902",
  "points": [
    [
      "-97500",
      "60296910"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-43, q=16; A=(3q-p)(p+q)^3=-1791153, B=-(p+3q)(p-q)^3=1026895. 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 19:57:36",
  "updated_at": "2026-09-26 19:57:36"
}