{
  "id": 2497,
  "curve_key": "16125352321:-1671512396258881",
  "ainvs": [
    "1",
    "0",
    "0",
    "-335944840",
    "1934592833600"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 70.51097564626168,
  "faltings_height": 3.8803084910858505,
  "conductor": "146370",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "17",
    "41"
  ],
  "discriminant": "809648781931584000000000000",
  "regulator": "2.401259260050151923957967263138789341971",
  "points": [
    [
      "-19360",
      "1097000"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-17, q=8; A=(3q-p)(p+q)^3=-29889, B=-(p+3q)(p-q)^3=109375. 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 20:05:16",
  "updated_at": "2026-09-26 20:05:16"
}