{
  "id": 5301,
  "curve_key": "16377696:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-341202",
    "0"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 49.834292901465254,
  "faltings_height": 2.221098153430262,
  "conductor": "7450803507456",
  "bad_primes": [
    "2",
    "3",
    "19",
    "41",
    "73"
  ],
  "discriminant": "2542229058351002112",
  "regulator": "931.277320420634396145631458143700899265775735519",
  "points": [
    [
      "-584",
      "292"
    ],
    [
      "-57",
      "4389"
    ],
    [
      "1026",
      "27018"
    ],
    [
      "8322",
      "757302"
    ],
    [
      "-4161/49",
      "1826679/343"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castañeda–Peral parametrization at tuple (8,9,14,20), 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 12:43:25",
  "updated_at": "2026-10-21 12:43:25"
}