{
  "id": 5264,
  "curve_key": "-11225472:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "233864",
    "0"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 48.70108811911899,
  "faltings_height": 2.1266644215680732,
  "conductor": "218769481984",
  "bad_primes": [
    "2",
    "23",
    "31",
    "41"
  ],
  "discriminant": "-818596898155298816",
  "regulator": "1406.34674433731314174743306790357867141059387971",
  "points": [
    [
      "8",
      "1368"
    ],
    [
      "288",
      "9552"
    ],
    [
      "369",
      "11685"
    ],
    [
      "1025",
      "36285"
    ],
    [
      "5248",
      "381792"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogeny partner of curve #5263: https://elliptic-rank.icarm.cloud/curve/5263. Both arise 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 11:31:25",
  "updated_at": "2026-10-21 11:31:25"
}