{
  "id": 2432,
  "curve_key": "1097852004769:-866495387004679153",
  "ainvs": [
    "1",
    "0",
    "0",
    "-22871916766",
    "1002886273410500"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 83.17312999123959,
  "faltings_height": 4.950078855657641,
  "conductor": "5860470",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "43",
    "59"
  ],
  "discriminant": "331252162914393771326333838950400",
  "regulator": "7.122009259140895824721294883050451541381",
  "points": [
    [
      "-18724",
      "37752914"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-35, q=8; A=(3q-p)(p+q)^3=-1161297, B=-(p+3q)(p-q)^3=-874577. 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 20:01:14",
  "updated_at": "2026-09-26 20:01:14"
}