{
  "id": 2364,
  "curve_key": "8991966827209:3779260648189359227",
  "ainvs": [
    "1",
    "0",
    "1",
    "-187332642234",
    "-4374159879791204"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 89.48205815978451,
  "faltings_height": 5.523874313236863,
  "conductor": "45513930",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "17",
    "19",
    "61"
  ],
  "discriminant": "412480827434488514609847944059347600",
  "regulator": "3.308021038403806796700698017624353655651",
  "points": [
    [
      "-419326",
      "21362448"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-44, q=17; A=(3q-p)(p+q)^3=-1869885, B=-(p+3q)(p-q)^3=1588867. 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 19:56:59",
  "updated_at": "2026-09-26 19:56:59"
}