{
  "id": 5287,
  "curve_key": "-8729837424:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "181871613",
    "0"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 68.67003775183231,
  "faltings_height": 3.7907435576275166,
  "conductor": "235216239041577024",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "37",
    "41",
    "173"
  ],
  "discriminant": "-385012411184566686767577408",
  "regulator": "16833.872927888583430312686052659579815318117819863",
  "points": [
    [
      "2772",
      "724878"
    ],
    [
      "13776",
      "2262708"
    ],
    [
      "200244",
      "89809434"
    ],
    [
      "1353/4",
      "1984851/8"
    ],
    [
      "31857/4",
      "11181807/8"
    ],
    [
      "33825/4",
      "11710215/8"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogenous endpoint of the Aguirre–Castañeda–Peral parametrization at tuple (6,8,12,17), 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 12:13:18",
  "updated_at": "2026-10-21 12:13:18"
}