{
  "id": 2436,
  "curve_key": "1076944019089:-1115867797188557113",
  "ainvs": [
    "1",
    "0",
    "0",
    "-22436333731",
    "1291511784458945"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 83.11544560257036,
  "faltings_height": 4.716160498977629,
  "conductor": "37447410",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "29",
    "43"
  ],
  "discriminant": "2249884650778460442362438222400",
  "regulator": "3.925067892111339029630620285490472202011",
  "points": [
    [
      "314867/4",
      "28698523/8"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-11, q=18; A=(3q-p)(p+q)^3=22295, B=-(p+3q)(p-q)^3=1048727. 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 20:01:29",
  "updated_at": "2026-09-26 20:01:29"
}