{
  "id": 5263,
  "curve_key": "2806368:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-58466",
    "0"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 44.542205035759316,
  "faltings_height": 1.7800908312881003,
  "conductor": "218769481984",
  "bad_primes": [
    "2",
    "23",
    "31",
    "41"
  ],
  "discriminant": "12790576533676544",
  "regulator": "703.173372168656570873716533951789335705296939851",
  "points": [
    [
      "-46",
      "1610"
    ],
    [
      "242",
      "154"
    ],
    [
      "248",
      "868"
    ],
    [
      "279",
      "2325"
    ],
    [
      "-713/9",
      "54901/27"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castañeda–Peral parametrization at tuple (1,8,12,14), 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 11:29:51",
  "updated_at": "2026-10-21 11:29:51"
}