{
  "id": 5283,
  "curve_key": "417648:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-8701",
    "0"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 38.82718275442175,
  "faltings_height": 1.3038389745099692,
  "conductor": "2422636832",
  "bad_primes": [
    "2",
    "7",
    "11",
    "113"
  ],
  "discriminant": "42158726150464",
  "regulator": "86.10228215296920830306955004254528781215555484",
  "points": [
    [
      "-77",
      "462"
    ],
    [
      "-63",
      "546"
    ],
    [
      "99",
      "330"
    ],
    [
      "275",
      "4290"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogenous endpoint of the Aguirre–Castañeda–Peral parametrization at tuple (2,4,16,17), 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 12:07:22",
  "updated_at": "2026-10-21 12:07:22"
}