{
  "id": 5300,
  "curve_key": "-710160:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "14795",
    "0"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 40.419736727226606,
  "faltings_height": 1.4365518055770405,
  "conductor": "7004544800",
  "bad_primes": [
    "2",
    "5",
    "11",
    "269"
  ],
  "discriminant": "-207264480632000",
  "regulator": "205.0368576177458225851772357600411366269125308",
  "points": [
    [
      "44",
      "858"
    ],
    [
      "55",
      "990"
    ],
    [
      "125",
      "1950"
    ],
    [
      "6336/25",
      "559416/125"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogenous endpoint of the Aguirre–Castañeda–Peral parametrization at tuple (5,7,8,20), 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 12:40:56",
  "updated_at": "2026-10-21 12:40:56"
}