{
  "id": 5317,
  "curve_key": "206606152368:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-4304294841",
    "0"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 78.16224051695194,
  "faltings_height": 4.581760454720818,
  "conductor": "592862530504294888992",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "37",
    "41",
    "71",
    "173"
  ],
  "discriminant": "5103710262943683238061866580544",
  "regulator": "116142.6624756435487723867682632913640196533581301064",
  "points": [
    [
      "-25604",
      "9665510"
    ],
    [
      "-1517",
      "2554628"
    ],
    [
      "68413",
      "5072108"
    ],
    [
      "134421",
      "43014720"
    ],
    [
      "-5511261/625",
      "95388905388/15625"
    ],
    [
      "262441/4",
      "1312205/8"
    ],
    [
      "1049937/16",
      "22172199/64"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogenous endpoint of the Aguirre–Castañeda–Peral parametrization at tuple (2,4,19,22), 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 13:08:23",
  "updated_at": "2026-10-21 13:08:23"
}