{
  "id": 5134,
  "curve_key": "384:0",
  "ainvs": [
    "0",
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    "0",
    "-8",
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  ],
  "rank_lower_bound": 0,
  "torsion": [
    2
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  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 17.85192765776318,
  "faltings_height": -0.44409895021157786,
  "conductor": "256",
  "bad_primes": [
    "2"
  ],
  "discriminant": "32768",
  "regulator": "1",
  "points": [],
  "submitter": "hdeping",
  "history": [],
  "commentary": null,
  "created_at": "2026-10-21 05:12:31",
  "updated_at": "2026-10-21 05:12:31"
}