{
  "id": 2200,
  "curve_key": "4178897575916809:-249864579154375768777573",
  "ainvs": [
    "1",
    "0",
    "1",
    "-87060366164934",
    "289195107506978477896"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 107.90647160653042,
  "faltings_height": 6.951695756077566,
  "conductor": "46835765130",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "19",
    "37",
    "151",
    "191"
  ],
  "discriminant": "6102172071390464281522707771579286416627600",
  "regulator": "3.385938480687023085811824225896720950957",
  "points": [
    [
      "6614489",
      "1648620813"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-20, q=57; A=(3q-p)(p+q)^3=9674723, B=-(p+3q)(p-q)^3=68936483. 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 19:46:40",
  "updated_at": "2026-09-26 19:46:40"
}