{
  "id": 2483,
  "curve_key": "114051529321:-38474174988979381",
  "ainvs": [
    "1",
    "0",
    "1",
    "-2376073528",
    "44530097120006"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 76.37974858440649,
  "faltings_height": 4.1422343553285845,
  "conductor": "39270",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "17"
  ],
  "discriminant": "1904972409734563785924000000",
  "regulator": "1.845940217164241088066806168218800015999",
  "points": [
    [
      "-38855",
      "8862107"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-16, q=11; A=(3q-p)(p+q)^3=-6125, B=-(p+3q)(p-q)^3=334611. 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 20:04:24",
  "updated_at": "2026-09-26 20:04:24"
}