{
  "id": 2287,
  "curve_key": "104544798682041:-1057549806892494239661",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-2178016639209",
    "1224016524703805913"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 96.841910372975,
  "faltings_height": 5.938107621036909,
  "conductor": "102612510",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "67"
  ],
  "discriminant": "14017823277922392364866430977539062500",
  "regulator": "4.640801069835395959889957709085740590812",
  "points": [
    [
      "778912",
      "9696389"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-42, q=25; A=(3q-p)(p+q)^3=-574821, B=-(p+3q)(p-q)^3=9925179. 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 19:52:11",
  "updated_at": "2026-09-26 19:52:11"
}