{
  "id": 2205,
  "curve_key": "3577424044497121:-213667103591487950608081",
  "ainvs": [
    "1",
    "0",
    "0",
    "-74529667593690",
    "247299882205268384100"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 107.44025818705926,
  "faltings_height": 6.739803987247139,
  "conductor": "4039265670",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "19",
    "59",
    "61",
    "179"
  ],
  "discriminant": "75294365267542654221689773094178816000000",
  "regulator": "2.327491658626756687281607905296446742776",
  "points": [
    [
      "4794980",
      "418319510"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-59, q=40; A=(3q-p)(p+q)^3=-1227761, B=-(p+3q)(p-q)^3=59188239. 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 19:46:59",
  "updated_at": "2026-09-26 19:46:59"
}