{
  "id": 2078,
  "curve_key": "55393:-11155985",
  "ainvs": [
    "1",
    "1",
    "1",
    "-1154",
    "12431"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    4,
    2
  ],
  "naive_height": 32.76662553288435,
  "faltings_height": 0.7228273724798924,
  "conductor": "966",
  "bad_primes": [
    "2",
    "3",
    "7",
    "23"
  ],
  "discriminant": "26337394944",
  "regulator": "4.858093228061399218994797053851686870537",
  "points": [
    [
      "325/9",
      "-4271/27"
    ]
  ],
  "submitter": "Steps Unbounded",
  "history": [],
  "commentary": "2-isogenous partner of curve#1040 (David Renshaw), curve#2564 (Natanael Wildner Fraga).",
  "created_at": "2026-09-26 05:15:04",
  "updated_at": "2026-09-26 05:15:04"
}