{
  "id": 5130,
  "curve_key": "336:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-7",
    "0"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 17.451333479889612,
  "faltings_height": -0.47748179836770854,
  "conductor": "3136",
  "bad_primes": [
    "2",
    "7"
  ],
  "discriminant": "21952",
  "regulator": "1.634282031913664690286362210702141779090",
  "points": [
    [
      "4",
      "6"
    ]
  ],
  "submitter": "hdeping",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "Daniel Błażewicz",
      "at": "2026-10-21 05:06:19"
    }
  ],
  "commentary": null,
  "created_at": "2026-10-21 05:05:18",
  "updated_at": "2026-10-21 05:06:19"
}