{
  "id": 5267,
  "curve_key": "-41869200:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "872275",
    "0"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 52.650183093161324,
  "faltings_height": 2.4557556694049336,
  "conductor": "973905504800",
  "bad_primes": [
    "2",
    "5",
    "23",
    "37",
    "41"
  ],
  "discriminant": "-42475671209971000000",
  "regulator": "760.582338392711010933925157997813822277523570201",
  "points": [
    [
      "41",
      "5986"
    ],
    [
      "185",
      "12950"
    ],
    [
      "1035",
      "44850"
    ],
    [
      "18860",
      "2593250"
    ],
    [
      "4715/49",
      "3159050/343"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castañeda–Peral parametrization at tuple (1,2,13,14), 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 11:35:43",
  "updated_at": "2026-10-21 11:35:43"
}