{
  "id": 5262,
  "curve_key": "-293904:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "6123",
    "0"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 37.77302538715754,
  "faltings_height": 1.2159925272379517,
  "conductor": "1199716128",
  "bad_primes": [
    "2",
    "3",
    "13",
    "157"
  ],
  "discriminant": "-14691723703488",
  "regulator": "107.4525277615225841378940202850770856097414590",
  "points": [
    [
      "13",
      "286"
    ],
    [
      "39",
      "546"
    ],
    [
      "108",
      "1386"
    ],
    [
      "300",
      "5370"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogenous endpoint of the Aguirre–Castañeda–Peral parametrization at tuple (3,4,8,15), 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 11:28:37",
  "updated_at": "2026-10-21 11:28:37"
}