{
  "id": 2473,
  "curve_key": "1213061140729:-1336042626335358733",
  "ainvs": [
    "1",
    "0",
    "1",
    "-25272107099",
    "1546343526323666"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 83.47250444753494,
  "faltings_height": 4.5801430017876585,
  "conductor": "53232270",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "17",
    "31",
    "37"
  ],
  "discriminant": "17704246688884492064760240900",
  "regulator": "7.781036609039836517566201139495069982870",
  "points": [
    [
      "-90066",
      "55649872"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-14, q=17; A=(3q-p)(p+q)^3=1755, B=-(p+3q)(p-q)^3=1102267. 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 20:03:47",
  "updated_at": "2026-09-26 20:03:47"
}