{
  "id": 2418,
  "curve_key": "1847467035001:-2470200870055927501",
  "ainvs": [
    "1",
    "0",
    "1",
    "-38488896563",
    "2859025577378906"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 84.734509939737,
  "faltings_height": 4.947998718671136,
  "conductor": "237275610",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "13",
    "19",
    "41",
    "71"
  ],
  "discriminant": "117917265917988843671949575062500",
  "regulator": "5.499777061693797309164205058494315948736",
  "points": [
    [
      "-165363",
      "68652598"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-26, q=15; A=(3q-p)(p+q)^3=-94501, B=-(p+3q)(p-q)^3=1309499. 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 20:00:22",
  "updated_at": "2026-09-26 20:00:22"
}