{
  "id": 2354,
  "curve_key": "17296817228761:-71817712229154643741",
  "ainvs": [
    "1",
    "0",
    "1",
    "-360350358933",
    "83122322087880556"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 91.44463087587191,
  "faltings_height": 5.412468600986291,
  "conductor": "909438630",
  "bad_primes": [
    "2",
    "3",
    "5",
    "17",
    "23",
    "31",
    "41",
    "61"
  ],
  "discriminant": "9881956640294710169570488688062500",
  "regulator": "5.045490517888530735133496647263014764146",
  "points": [
    [
      "363140",
      "12156867"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-46, q=5; A=(3q-p)(p+q)^3=-4204181, B=-(p+3q)(p-q)^3=-4112181. 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 19:56:21",
  "updated_at": "2026-09-26 19:56:21"
}