{
  "id": 1502,
  "curve_key": "7009025988254439176188984745322114695521:-586794902840996580651388334796514619713894586012407143841681",
  "ainvs": [
    "1",
    "0",
    "0",
    "-146021374755300816170603848860877389490",
    "679160767177079375741753235895987223321309153812990708100"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    8,
    2
  ],
  "naive_height": 275.24405211635894,
  "faltings_height": 20.4840565385747,
  "conductor": "31761454582842251479170",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "17",
    "23",
    "29",
    "31",
    "191",
    "331",
    "569",
    "3329",
    "3593"
  ],
  "discriminant": "158475870772909920454951934538069295217408835430795777133451466760714425760645073121478594064906048464100000000",
  "regulator": "27.25658808229588457365281228751821109167",
  "points": [
    [
      "23414737123396903311356189401220/211464781609",
      "112652824670651104879871862563588761884439141670/97242714217243477"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Specialization t=21/310 of the universal torsion Z/2xZ/8 family y^2=x(x+16t^4)(x+(t^2-1)^4).",
  "created_at": "2026-09-25 00:42:26",
  "updated_at": "2026-09-25 00:42:26"
}