{
  "id": 2449,
  "curve_key": "418717449049:92216599333356707",
  "ainvs": [
    "1",
    "0",
    "1",
    "-8723280189",
    "-106732902094364"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 80.28138655034984,
  "faltings_height": 4.750912672653361,
  "conductor": "72773610",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "19",
    "23",
    "61"
  ],
  "discriminant": "37562177867449840292053893536100",
  "regulator": "3.444494218364111312826011632332972352482",
  "points": [
    [
      "-76297",
      "10747308"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-2, q=21; A=(3q-p)(p+q)^3=445835, B=-(p+3q)(p-q)^3=742187. 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 20:02:17",
  "updated_at": "2026-09-26 20:02:17"
}