{
  "id": 2579,
  "curve_key": "298996369:-5170068272953",
  "ainvs": [
    "1",
    "0",
    "0",
    "-6229091",
    "5983356225"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 58.54782596240555,
  "faltings_height": 2.4933806990595815,
  "conductor": "98670",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "13",
    "23"
  ],
  "discriminant": "184733644634510400",
  "regulator": "3.398325095669385737848256075897601303271",
  "points": [
    [
      "-1452",
      "110121"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-23, q=1; A=(3q-p)(p+q)^3=-276848, B=-(p+3q)(p-q)^3=-276480. 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 20:10:35",
  "updated_at": "2026-09-26 20:10:35"
}