{
  "id": 2623,
  "curve_key": "22450475990881:-104663385599387544721",
  "ainvs": [
    "1",
    "0",
    "0",
    "-467718249810",
    "121138138800548100"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    6,
    2
  ],
  "naive_height": 92.22699879647539,
  "faltings_height": 5.571809720268581,
  "conductor": "770861910",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "41",
    "71",
    "97"
  ],
  "discriminant": "208999743585264061567440174144000000",
  "regulator": "18.8202883223838300972532314324995925686617",
  "points": [
    [
      "-675780",
      "358944390"
    ],
    [
      "207720",
      "181407390"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-13, q=28; A=(3q-p)(p+q)^3=327375, B=-(p+3q)(p-q)^3=4893391. 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 20:13:23",
  "updated_at": "2026-09-26 20:13:23"
}