{
  "id": 5268,
  "curve_key": "167476800:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-3489100",
    "0"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 56.80906617652099,
  "faltings_height": 2.8023292596849063,
  "conductor": "973905504800",
  "bad_primes": [
    "2",
    "5",
    "23",
    "37",
    "41"
  ],
  "discriminant": "2718442957438144000000",
  "regulator": "380.291169196355505466962578998906911138761785103",
  "points": [
    [
      "-1850",
      "11100"
    ],
    [
      "-1840",
      "13800"
    ],
    [
      "-490",
      "39900"
    ],
    [
      "6660",
      "521700"
    ],
    [
      "8510",
      "765900"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogeny partner of curve #5267: https://elliptic-rank.icarm.cloud/curve/5267. Both arise from the Aguirre–Castañeda–Peral parametrization at tuple (1,2,13,14), 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 11:37:13",
  "updated_at": "2026-10-21 11:37:13"
}