{
  "id": 2313,
  "curve_key": "79692158403081:-710758023360765090021",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-1660253300064",
    "822637016175321648"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 96.02757692389282,
  "faltings_height": 5.772859955506518,
  "conductor": "29047590",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "13",
    "37",
    "61"
  ],
  "discriminant": "541196957238917365991005628906250000",
  "regulator": "6.923898090176794558248721544930889927630",
  "points": [
    [
      "809187",
      "94587594"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-36, q=25; A=(3q-p)(p+q)^3=-147741, B=-(p+3q)(p-q)^3=8852259. 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 19:53:48",
  "updated_at": "2026-09-26 19:53:48"
}