{
  "id": 2336,
  "curve_key": "21944096125081:73845674739270406979",
  "ainvs": [
    "1",
    "0",
    "1",
    "-457168669273",
    "-85469569045618744"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 92.15855775007924,
  "faltings_height": 5.70526737384548,
  "conductor": "941964870",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "37",
    "103",
    "107"
  ],
  "discriminant": "2959403927812227512885815321568062500",
  "regulator": "3.997576521405442707225968195138943910694",
  "points": [
    [
      "-503780",
      "130583927"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-2, q=35; A=(3q-p)(p+q)^3=3845259, B=-(p+3q)(p-q)^3=5217259. 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 19:55:14",
  "updated_at": "2026-09-26 19:55:14"
}