{
  "id": 5254,
  "curve_key": "138816:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-2892",
    "0"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 35.52271378255964,
  "faltings_height": 1.0284665601881269,
  "conductor": "16727328",
  "bad_primes": [
    "2",
    "3",
    "241"
  ],
  "discriminant": "1548013842432",
  "regulator": "14.782146630339562620928834231258121507541720",
  "points": [
    [
      "-50",
      "140"
    ],
    [
      "-2",
      "76"
    ],
    [
      "54",
      "36"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogeny partner of curve #5253: https://elliptic-rank.icarm.cloud/curve/5253. The source curve comes from the Aguirre–Castañeda–Peral parametrization at tuple (6,10,11,15), 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 11:17:24",
  "updated_at": "2026-10-21 11:17:24"
}