{
  "id": 2533,
  "curve_key": "975405249:-7562037999393",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-20320943",
    "8757439031"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 62.09509074782323,
  "faltings_height": 3.2389773596166753,
  "conductor": "18810",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "19"
  ],
  "discriminant": "503953215403595858841600",
  "regulator": "3.184275127414574742105207968286724541208",
  "points": [
    [
      "-4635",
      "60232"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-15, q=4; A=(3q-p)(p+q)^3=-35937, B=-(p+3q)(p-q)^3=-20577. 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 20:07:32",
  "updated_at": "2026-09-26 20:07:32"
}