{
  "id": 2482,
  "curve_key": "73238572449:-8987361020164593",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-1525803593",
    "10402419668681"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 75.05096419545289,
  "faltings_height": 4.308628886057463,
  "conductor": "377910",
  "bad_primes": [
    "2",
    "3",
    "5",
    "13",
    "17",
    "19"
  ],
  "discriminant": "180596572914532407591724646400",
  "regulator": "2.957700008285857754826639498868651521750",
  "points": [
    [
      "-41625",
      "1359292"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-3, q=16; A=(3q-p)(p+q)^3=112047, B=-(p+3q)(p-q)^3=308655. 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 20:04:20",
  "updated_at": "2026-09-26 20:04:20"
}