{
  "id": 2524,
  "curve_key": "2966580409:-161449956828973",
  "ainvs": [
    "1",
    "0",
    "1",
    "-61803759",
    "186858225646"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 65.43202724692715,
  "faltings_height": 3.217874858156336,
  "conductor": "1217370",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "17",
    "31"
  ],
  "discriminant": "24072325913742594156900",
  "regulator": "3.507360033396213132276202195660604041921",
  "points": [
    [
      "-6187",
      "579648"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-10, q=7; A=(3q-p)(p+q)^3=-837, B=-(p+3q)(p-q)^3=54043. 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 20:06:57",
  "updated_at": "2026-09-26 20:06:57"
}