{
  "id": 5281,
  "curve_key": "7559280591408:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-157485012321",
    "0"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 88.961391425176,
  "faltings_height": 5.481689697072825,
  "conductor": "793648931383856697825312",
  "bad_primes": [
    "2",
    "3",
    "7",
    "13",
    "19",
    "43",
    "47",
    "83",
    "181"
  ],
  "discriminant": "249975623475070311275035268451338304",
  "regulator": "1009740.59597191756267215143388706875330027807571326127",
  "points": [
    [
      "-290225",
      "145809040"
    ],
    [
      "-183911",
      "150807020"
    ],
    [
      "-30212",
      "68777618"
    ],
    [
      "518833",
      "240738512"
    ],
    [
      "553527",
      "287096004"
    ],
    [
      "670972",
      "443177006"
    ],
    [
      "1497561",
      "1767121980"
    ],
    [
      "2168439",
      "3139232460"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogenous endpoint of the Aguirre–Castañeda–Peral parametrization at tuple (3,6,9,17), 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 12:01:12",
  "updated_at": "2026-10-21 12:01:12"
}