{
  "id": 2438,
  "curve_key": "797327501161:-560987590629260341",
  "ainvs": [
    "1",
    "0",
    "1",
    "-16610989608",
    "649289808608806"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 82.213594046174,
  "faltings_height": 4.862666555648103,
  "conductor": "82492410",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "41",
    "67"
  ],
  "discriminant": "111214610938396503947579420250000",
  "regulator": "6.767923996229997032576763866113278517827",
  "points": [
    [
      "116945",
      "17436567"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-28, q=13; A=(3q-p)(p+q)^3=-226125, B=-(p+3q)(p-q)^3=758131. 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 20:01:36",
  "updated_at": "2026-09-26 20:01:36"
}