{
  "id": 2492,
  "curve_key": "32293533001:-5671621598674501",
  "ainvs": [
    "1",
    "0",
    "1",
    "-672781938",
    "6564320785156"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 72.59439849132504,
  "faltings_height": 3.9514540688160014,
  "conductor": "99330",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "43"
  ],
  "discriminant": "874270039107335062500000000",
  "regulator": "2.985202424709282499024282063333352580372",
  "points": [
    [
      "-23875",
      "3014937"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-16, q=9; A=(3q-p)(p+q)^3=-14749, B=-(p+3q)(p-q)^3=171875. 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 20:04:58",
  "updated_at": "2026-09-26 20:04:58"
}