{
  "id": 2357,
  "curve_key": "10588373034001:-33466107378729051001",
  "ainvs": [
    "1",
    "0",
    "0",
    "-220591104875",
    "38733902194640625"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 89.97233289433407,
  "faltings_height": 5.410551111092008,
  "conductor": "946506990",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "13",
    "37",
    "67",
    "89"
  ],
  "discriminant": "38843018848487476853944886601000000",
  "regulator": "5.027127620832177198606491020821412546767",
  "points": [
    [
      "-163250",
      "265401625"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-11, q=26; A=(3q-p)(p+q)^3=300375, B=-(p+3q)(p-q)^3=3393751. 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 19:56:33",
  "updated_at": "2026-09-26 19:56:33"
}