{
  "id": 5164,
  "curve_key": "0:839808",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-972"
  ],
  "rank_lower_bound": 1,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell",
    "cubesum"
  ],
  "naive_height": 27.28185714652899,
  "faltings_height": 0.3311440046690445,
  "conductor": "972",
  "bad_primes": [
    "2",
    "3"
  ],
  "discriminant": "-408146688",
  "regulator": "2.999367973136381053737249780882057655600",
  "points": [
    [
      "13",
      "35"
    ]
  ],
  "submitter": "hdeping",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "Daniel Błażewicz",
      "at": "2026-10-21 06:46:32"
    }
  ],
  "commentary": null,
  "created_at": "2026-10-21 06:39:12",
  "updated_at": "2026-10-21 06:46:31"
}