{
  "id": 5129,
  "curve_key": "288:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-6",
    "0"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    2
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  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 16.988881440407837,
  "faltings_height": -0.5160194683245232,
  "conductor": "2304",
  "bad_primes": [
    "2",
    "3"
  ],
  "discriminant": "13824",
  "regulator": "0.8441907993249675269205047899068612511406",
  "points": [
    [
      "-2",
      "2"
    ]
  ],
  "submitter": "hdeping",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "Daniel Błażewicz",
      "at": "2026-10-21 05:06:18"
    }
  ],
  "commentary": null,
  "created_at": "2026-10-21 05:05:09",
  "updated_at": "2026-10-21 05:06:18"
}