{
  "id": 2501,
  "curve_key": "14793184849:-1796826601771993",
  "ainvs": [
    "1",
    "0",
    "0",
    "-308191351",
    "2079634736105"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 70.2522972854576,
  "faltings_height": 3.6388449953779887,
  "conductor": "881790",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "17",
    "19"
  ],
  "discriminant": "5051998285778491505640000",
  "regulator": "3.377125221154720408890319929615723290201",
  "points": [
    [
      "-9214",
      "2038589"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-19, q=2; A=(3q-p)(p+q)^3=-122825, B=-(p+3q)(p-q)^3=-120393. 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 20:05:31",
  "updated_at": "2026-09-26 20:05:31"
}