{
  "id": 2587,
  "curve_key": "18046681:-73655211421",
  "ainvs": [
    "1",
    "0",
    "1",
    "-375973",
    "85217756"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 50.1254170431575,
  "faltings_height": 2.1048905871366035,
  "conductor": "46410",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "17"
  ],
  "discriminant": "261806444735062500",
  "regulator": "1.674159868526776475606234253122231936179",
  "points": [
    [
      "-2645/4",
      "56191/8"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-17, q=3; A=(3q-p)(p+q)^3=-71344, B=-(p+3q)(p-q)^3=-64000. 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 20:11:08",
  "updated_at": "2026-09-26 20:11:08"
}