{
  "id": 2403,
  "curve_key": "2897678109001:-4547433161211538501",
  "ainvs": [
    "1",
    "0",
    "1",
    "-60368293938",
    "5263227794785156"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 86.0847926404779,
  "faltings_height": 5.135186530769696,
  "conductor": "100468830",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "23",
    "31",
    "61"
  ],
  "discriminant": "2113030801584545266365960249000000",
  "regulator": "5.120538433988269315006511323503092490114",
  "points": [
    [
      "-118810",
      "103782537"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-8, q=23; A=(3q-p)(p+q)^3=259875, B=-(p+3q)(p-q)^3=1817251. 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 19:59:25",
  "updated_at": "2026-09-26 19:59:25"
}