{
  "id": 2487,
  "curve_key": "47977537689:-10333046708250813",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-999532035",
    "11959794684225"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 73.7819963205363,
  "faltings_height": 4.036501957038957,
  "conductor": "1711710",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "19"
  ],
  "discriminant": "2120925275533208063079260100",
  "regulator": "3.028165494763023061987702204898255040367",
  "points": [
    [
      "5305",
      "2606285"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-6, q=13; A=(3q-p)(p+q)^3=15435, B=-(p+3q)(p-q)^3=226347. 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 20:04:39",
  "updated_at": "2026-09-26 20:04:39"
}