{
  "id": 2368,
  "curve_key": "7631251788169:-10242666671808450853",
  "ainvs": [
    "1",
    "0",
    "1",
    "-158984412254",
    "11854925028855056"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 88.9898190273819,
  "faltings_height": 5.467870875995106,
  "conductor": "223092870",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "19",
    "23"
  ],
  "discriminant": "196470710648252108096051355186254400",
  "regulator": "7.321350379688373081827001987554927699302",
  "points": [
    [
      "-389892",
      "120909403"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-40, q=17; A=(3q-p)(p+q)^3=-1107197, B=-(p+3q)(p-q)^3=2037123. 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 19:57:14",
  "updated_at": "2026-09-26 19:57:14"
}