{
  "id": 5299,
  "curve_key": "18096:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-377",
    "0"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 29.410338595067707,
  "faltings_height": 0.5191019612304658,
  "conductor": "4548128",
  "bad_primes": [
    "2",
    "13",
    "29"
  ],
  "discriminant": "3429288512",
  "regulator": "13.233512265311715482991016901960462239591199",
  "points": [
    [
      "-16",
      "44"
    ],
    [
      "-13",
      "52"
    ],
    [
      "-4",
      "38"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogeny partner of curve #5298: https://elliptic-rank.icarm.cloud/curve/5298. Both arise from the Aguirre–Castañeda–Peral parametrization at tuple (2,6,13,21), 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 12:39:14",
  "updated_at": "2026-10-21 12:39:14"
}