{
  "id": 2528,
  "curve_key": "45361120729:-9661078353135133",
  "ainvs": [
    "1",
    "0",
    "1",
    "-945023349",
    "11181724897516"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 73.61376361047041,
  "faltings_height": 3.65743706676675,
  "conductor": "2284590",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "23",
    "43"
  ],
  "discriminant": "14861562168273888860100",
  "regulator": "2.809706369678720430065612753285658834242",
  "points": [
    [
      "-18592",
      "4734243"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-10, q=11; A=(3q-p)(p+q)^3=43, B=-(p+3q)(p-q)^3=213003. 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 20:07:13",
  "updated_at": "2026-09-26 20:07:13"
}