{
  "id": 2458,
  "curve_key": "244996795201:94475333360167199",
  "ainvs": [
    "1",
    "0",
    "0",
    "-5104099900",
    "-109346875990000"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 78.67353289978001,
  "faltings_height": 4.569689014928779,
  "conductor": "14360010",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "19",
    "59",
    "61"
  ],
  "discriminant": "3344883848295319592345664000000",
  "regulator": "5.472805815816325012831452596968023086093",
  "points": [
    [
      "-56158",
      "456206"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-1, q=20; A=(3q-p)(p+q)^3=418399, B=-(p+3q)(p-q)^3=546399. 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 20:02:49",
  "updated_at": "2026-09-26 20:02:49"
}