{
  "id": 2398,
  "curve_key": "66484778698321:-542104680840369617881",
  "ainvs": [
    "1",
    "0",
    "0",
    "-1385099556215",
    "627435857769909225"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 95.4839824369082,
  "faltings_height": 5.505527828259633,
  "conductor": "93183090",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "29",
    "107"
  ],
  "discriminant": "144111774001956432285102489000000",
  "regulator": "3.703028989811519055370051604981512641748",
  "points": [
    [
      "-708320",
      "1119797485"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-29, q=26; A=(3q-p)(p+q)^3=-2889, B=-(p+3q)(p-q)^3=8152375. 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 19:59:07",
  "updated_at": "2026-09-26 19:59:07"
}