{
  "id": 5122,
  "curve_key": "-144:0",
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  ],
  "rank_lower_bound": 1,
  "torsion": [
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  "family": null,
  "families": [
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  "naive_height": 14.909439898728001,
  "faltings_height": -0.6893062634645094,
  "conductor": "288",
  "bad_primes": [
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  "discriminant": "-1728",
  "regulator": "0.5011823920471783637111199843654266250082",
  "points": [
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  "submitter": "hdeping",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "Daniel Błażewicz",
      "at": "2026-10-21 05:06:11"
    }
  ],
  "commentary": null,
  "created_at": "2026-10-21 05:03:35",
  "updated_at": "2026-10-21 05:06:11"
}