{
  "id": 2295,
  "curve_key": "79118587026649:-658225953532379060893",
  "ainvs": [
    "1",
    "0",
    "1",
    "-1648303896389",
    "761835457007521436"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 96.00590683341576,
  "faltings_height": 5.952607194266554,
  "conductor": "941410470",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "23",
    "29",
    "47"
  ],
  "discriminant": "35880343499571675962565646104588922500",
  "regulator": "5.548654639349195695245142698286340683473",
  "points": [
    [
      "-1393851",
      "593422432"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-58, q=11; A=(3q-p)(p+q)^3=-9447893, B=-(p+3q)(p-q)^3=-8212725. 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 19:52:40",
  "updated_at": "2026-09-26 19:52:40"
}