{
  "id": 2069,
  "curve_key": "419292193:-8566353833905",
  "ainvs": [
    "1",
    "0",
    "0",
    "-8735254",
    "9914033444"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    4,
    2
  ],
  "naive_height": 59.56223577852161,
  "faltings_height": 2.767493108107947,
  "conductor": "253506",
  "bad_primes": [
    "2",
    "3",
    "11",
    "23",
    "167"
  ],
  "discriminant": "191922119028010508544",
  "regulator": "123.421263950431706543227115623523885507318",
  "points": [
    [
      "2200976/1225",
      "154214194/42875"
    ],
    [
      "12328688/5929",
      "11962000462/456533"
    ]
  ],
  "submitter": "Steps Unbounded",
  "history": [],
  "commentary": "2-isogenous partner of curve#1182 (David Renshaw), curve#2639 (Natanael Wildner Fraga).",
  "created_at": "2026-09-26 05:13:10",
  "updated_at": "2026-09-26 05:13:10"
}