{
  "id": 5253,
  "curve_key": "-34704:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "723",
    "0"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 31.363830699199966,
  "faltings_height": 0.6818929699081543,
  "conductor": "16727328",
  "bad_primes": [
    "2",
    "3",
    "241"
  ],
  "discriminant": "-24187716288",
  "regulator": "29.564293260679125241857668462516243015083440",
  "points": [
    [
      "12",
      "102"
    ],
    [
      "27",
      "198"
    ],
    [
      "75",
      "690"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castañeda–Peral parametrization at tuple (6,10,11,15), reduced by rational fourth-power scaling. Reference: “High rank elliptic curves with torsion group Z/(2Z),” Math. Comp. 73 (2004), 323–331, doi:10.1090/S0025-5718-03-01547-3.",
  "created_at": "2026-10-21 11:16:17",
  "updated_at": "2026-10-21 11:16:17"
}