{
  "id": 5336,
  "curve_key": "-16147152:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "336399",
    "0"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 49.79176273599839,
  "faltings_height": 2.21755397297469,
  "conductor": "3621257190432",
  "bad_primes": [
    "2",
    "3",
    "7",
    "83",
    "193"
  ],
  "discriminant": "-2436374595208268736",
  "regulator": "1340.86522749026340161677902817073098193002595568",
  "points": [
    [
      "1",
      "580"
    ],
    [
      "193",
      "8492"
    ],
    [
      "249",
      "9960"
    ],
    [
      "6727",
      "553784"
    ],
    [
      "15687",
      "1966104"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogeny endpoint from the Aguirre–Castañeda–Peral parametrization at tuple (7,11,13,26), 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 13:45:14",
  "updated_at": "2026-10-21 13:45:14"
}