{
  "id": 2190,
  "curve_key": "26465411269248961:-4305307698372019778843041",
  "ainvs": [
    "1",
    "0",
    "0",
    "-551362734776020",
    "4982994975317017216400"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 113.44384512065663,
  "faltings_height": 7.114583854405068,
  "conductor": "59213910210",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "19",
    "47",
    "107",
    "227"
  ],
  "discriminant": "680488820048723690403764382017093184000000",
  "regulator": "5.087385694716115273470497218442050195300",
  "points": [
    [
      "13744040",
      "1121819180"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-47, q=60; A=(3q-p)(p+q)^3=498719, B=-(p+3q)(p-q)^3=162930719. 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 19:46:01",
  "updated_at": "2026-09-26 19:46:01"
}