{
  "id": 2606,
  "curve_key": "447889951662169:-9476504080026456261853",
  "ainvs": [
    "1",
    "0",
    "1",
    "-9331040659629",
    "10968175240962417556"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    6,
    2
  ],
  "naive_height": 101.2067060236709,
  "faltings_height": 6.1591361108577605,
  "conductor": "2587775190",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "37",
    "137"
  ],
  "discriminant": "26051661930985841756525651441018208900",
  "regulator": "12.9905190824388035612515268591605101374321",
  "points": [
    [
      "1705181",
      "122106882"
    ],
    [
      "1733768",
      "43164603"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-26, q=37; A=(3q-p)(p+q)^3=182347, B=-(p+3q)(p-q)^3=21253995. 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 20:12:19",
  "updated_at": "2026-09-26 20:12:19"
}