{
  "id": 2646,
  "curve_key": "5644277829481:-13408717789099693621",
  "ainvs": [
    "1",
    "0",
    "1",
    "-117589121448",
    "15519339493846006"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    6,
    2
  ],
  "naive_height": 88.08499012302616,
  "faltings_height": 5.019450703560905,
  "conductor": "28850010",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "37",
    "47",
    "79"
  ],
  "discriminant": "12134894433777448433101764000000",
  "regulator": "25.0612859400008175349899679662721362173891",
  "points": [
    [
      "-202930",
      "176240427"
    ],
    [
      "386270",
      "166334502"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-16, q=21; A=(3q-p)(p+q)^3=9875, B=-(p+3q)(p-q)^3=2380691. 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 20:15:13",
  "updated_at": "2026-09-26 20:15:13"
}