{
  "id": 2203,
  "curve_key": "3445610934796321:-184625717928602542184881",
  "ainvs": [
    "1",
    "0",
    "0",
    "-71783561141590",
    "213687167546511736100"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 107.32763286965107,
  "faltings_height": 6.910913101496236,
  "conductor": "4113414690",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "17",
    "19",
    "37",
    "149"
  ],
  "discriminant": "3947017378665240794588408691264000000000000",
  "regulator": "3.501738314084175601549026913466499830215",
  "points": [
    [
      "6212300",
      "2734668890"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-19, q=56; A=(3q-p)(p+q)^3=9472111, B=-(p+3q)(p-q)^3=62859375. 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 19:46:51",
  "updated_at": "2026-09-26 19:46:51"
}