{
  "id": 2065,
  "curve_key": "1840528:2322226880",
  "ainvs": [
    "0",
    "1",
    "0",
    "-38344",
    "-2700544"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    2,
    2
  ],
  "naive_height": 43.27668913482828,
  "faltings_height": 1.5624006056641704,
  "conductor": "41496",
  "bad_primes": [
    "2",
    "3",
    "7",
    "13",
    "19"
  ],
  "discriminant": "487344124560384",
  "regulator": "13.5889534618029432760312757261053554080981",
  "points": [
    [
      "1088",
      "-35280"
    ],
    [
      "3112",
      "-173280"
    ]
  ],
  "submitter": "Steps Unbounded",
  "history": [],
  "commentary": "2-isogenous partner of curve#1169 (David Renshaw).",
  "created_at": "2026-09-26 05:12:11",
  "updated_at": "2026-09-26 05:12:11"
}