{
  "id": 2077,
  "curve_key": "187681:-80933329",
  "ainvs": [
    "1",
    "0",
    "0",
    "-3910",
    "93347"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    4,
    2
  ],
  "naive_height": 36.42749697627406,
  "faltings_height": 0.8680614468141423,
  "conductor": "1785",
  "bad_primes": [
    "3",
    "5",
    "7",
    "17"
  ],
  "discriminant": "35128130625",
  "regulator": "4.047302942501903823623404195884388943291",
  "points": [
    [
      "971/25",
      "229/125"
    ]
  ],
  "submitter": "Steps Unbounded",
  "history": [],
  "commentary": "2-isogenous partner of curve#1180 (David Renshaw), curve#2560 (Natanael Wildner Fraga).",
  "created_at": "2026-09-26 05:15:02",
  "updated_at": "2026-09-26 05:15:02"
}