{
  "id": 2426,
  "curve_key": "1279346421609:986231527113697227",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-26653050450",
    "-1141465011637500"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 83.63211136601217,
  "faltings_height": 5.000557640865897,
  "conductor": "188370",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "23"
  ],
  "discriminant": "648893834752809308394363059610000",
  "regulator": "7.835876899118352439227791527928036979994",
  "points": [
    [
      "1296999/4",
      "1245963015/8"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-36, q=13; A=(3q-p)(p+q)^3=-912525, B=-(p+3q)(p-q)^3=352947. 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 20:00:52",
  "updated_at": "2026-09-26 20:00:52"
}