{
  "id": 5276,
  "curve_key": "738282748896:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-15380890602",
    "0"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 81.9827781502717,
  "faltings_height": 4.900138590830799,
  "conductor": "15140594925484283033856",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "19",
    "23",
    "29",
    "37",
    "71"
  ],
  "discriminant": "232875834198070099214143798221312",
  "regulator": "93152.51643845675278625594380655289828714283742483164",
  "points": [
    [
      "-88550",
      "25838890"
    ],
    [
      "-29526",
      "20697726"
    ],
    [
      "-9798",
      "12237702"
    ],
    [
      "-3542",
      "7377986"
    ],
    [
      "143704",
      "27519316"
    ],
    [
      "-15922247/144",
      "32274394669/1728"
    ],
    [
      "533577/4",
      "143532213/8"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castañeda–Peral parametrization at tuple (3,4,6,10), 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 11:49:38",
  "updated_at": "2026-10-21 11:49:38"
}