{
  "id": 2377,
  "curve_key": "5362618008049:-9815035380986718793",
  "ainvs": [
    "1",
    "0",
    "0",
    "-111721208501",
    "11359985343819105"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 87.9314202183106,
  "faltings_height": 5.3385848341471895,
  "conductor": "688677990",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "19",
    "71"
  ],
  "discriminant": "33496232448976788910481239779201600",
  "regulator": "2.976281206030821251936190555480317443749",
  "points": [
    [
      "-339402",
      "101072811"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-7, q=26; A=(3q-p)(p+q)^3=583015, B=-(p+3q)(p-q)^3=2551527. 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 19:57:47",
  "updated_at": "2026-09-26 19:57:47"
}