{
  "id": 1735,
  "curve_key": "2221188412321:-3308219230083248881",
  "ainvs": [
    "1",
    "0",
    "0",
    "-46274758590",
    "3828953585996100"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    8,
    2
  ],
  "naive_height": 85.28719046833486,
  "faltings_height": 4.865378560893617,
  "conductor": "8399370",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "23",
    "37",
    "47"
  ],
  "discriminant": "8283476453167820002688100000000",
  "regulator": "1",
  "points": [],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Specialization t=5/7 of the universal torsion Z/2xZ/8 family y^2=x(x+16t^4)(x+(t^2-1)^4).",
  "created_at": "2026-09-25 10:39:22",
  "updated_at": "2026-09-25 10:39:22"
}