{
  "id": 5295,
  "curve_key": "-4503996100800:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "93833252100",
    "0"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 87.40795842313861,
  "faltings_height": 5.352236946903041,
  "conductor": "78263815108108039200",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "31",
    "67",
    "71",
    "101"
  ],
  "discriminant": "-52874987712097610853290032704000000",
  "regulator": "77562.07791624930923657795050239162182382076088198468",
  "points": [
    [
      "9514",
      "29892988"
    ],
    [
      "37989",
      "60161913"
    ],
    [
      "43834",
      "64786652"
    ],
    [
      "223650",
      "179367300"
    ],
    [
      "501970",
      "416635100"
    ],
    [
      "4804570/49",
      "34544858300/343"
    ],
    [
      "5161345/4",
      "12051740575/8"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castañeda–Peral parametrization at tuple (2,6,16,17), 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 12:23:13",
  "updated_at": "2026-10-21 12:23:13"
}