{
  "id": 5121,
  "curve_key": "75381360:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-1570445",
    "0"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 54.41421176268433,
  "faltings_height": 2.6027580585318515,
  "conductor": "78921519936800",
  "bad_primes": [
    "2",
    "5",
    "19",
    "61",
    "271"
  ],
  "discriminant": "247883812754295752000",
  "regulator": "870.8152118298025448803806764495857264404830562",
  "points": [
    [
      "-1159",
      "16226"
    ],
    [
      "-855",
      "26790"
    ],
    [
      "7625/4",
      "501725/8"
    ],
    [
      "256505/64",
      "123396595/512"
    ]
  ],
  "submitter": "hdeping",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "Daniel Błażewicz",
      "at": "2026-10-21 05:06:10"
    }
  ],
  "commentary": "Mordell curve y^2=x^3+A*x, partner of library entry id=5098 (A' = 4th-free reduction of -4A_orig); points via exact 2-isogeny transfer, independence certified. Team Euler (operator Laohuang).",
  "created_at": "2026-10-21 04:58:57",
  "updated_at": "2026-10-21 05:06:10"
}