{
  "id": 2675,
  "curve_key": "571580607481:-432131792988340621",
  "ainvs": [
    "1",
    "0",
    "1",
    "-11907929323",
    "500151545853506"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    6,
    2
  ],
  "naive_height": 81.2150140670891,
  "faltings_height": 4.250423479094582,
  "conductor": "11138610",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "29",
    "31",
    "59"
  ],
  "discriminant": "4442413948011741267562500",
  "regulator": "22.7176705888064883538397324876603411827828",
  "points": [
    [
      "-77459",
      "30986804"
    ],
    [
      "-18125",
      "26655422"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-14, q=15; A=(3q-p)(p+q)^3=59, B=-(p+3q)(p-q)^3=756059. 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 20:17:14",
  "updated_at": "2026-09-26 20:17:14"
}