{
  "id": 2289,
  "curve_key": "90656797510489:-684507186422462590813",
  "ainvs": [
    "1",
    "0",
    "1",
    "-1888683281469",
    "792253530598687876"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 96.41430610993345,
  "faltings_height": 6.044862377703577,
  "conductor": "57960870",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "37",
    "47",
    "101"
  ],
  "discriminant": "160027111096058562029170232707376568900",
  "regulator": "4.525299837675477751903465916915758487107",
  "points": [
    [
      "1846007/4",
      "1098419289/8"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-10, q=37; A=(3q-p)(p+q)^3=2381643, B=-(p+3q)(p-q)^3=10486123. 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 19:52:18",
  "updated_at": "2026-09-26 19:52:18"
}