{
  "id": 2215,
  "curve_key": "5506570874683921:-408579826657110655580281",
  "ainvs": [
    "1",
    "0",
    "0",
    "-114720226555915",
    "472893308330155490225"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 108.73415543563677,
  "faltings_height": 6.75788222379995,
  "conductor": "8842689570",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "13",
    "17",
    "29",
    "37",
    "113"
  ],
  "discriminant": "19991215637013478177608968373890625000000",
  "regulator": "2.883858150038715402659276889461292551239",
  "points": [
    [
      "6238250",
      "75134765"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-37, q=50; A=(3q-p)(p+q)^3=410839, B=-(p+3q)(p-q)^3=74410839. 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 19:47:37",
  "updated_at": "2026-09-26 19:47:37"
}