{
  "id": 2448,
  "curve_key": "634806690169:-504603762670299853",
  "ainvs": [
    "1",
    "0",
    "1",
    "-13225139379",
    "584031030625306"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 81.52975909368516,
  "faltings_height": 4.599389897425458,
  "conductor": "8928570",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "17",
    "41",
    "61"
  ],
  "discriminant": "688163662785266463984154740900",
  "regulator": "5.748302289033972126374287388583740542635",
  "points": [
    [
      "-257653/4",
      "273741999/8"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-10, q=17; A=(3q-p)(p+q)^3=20923, B=-(p+3q)(p-q)^3=807003. 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 20:02:13",
  "updated_at": "2026-09-26 20:02:13"
}