{
  "id": 5232,
  "curve_key": "10669524096:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-222281752",
    "0"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 69.27197189761054,
  "faltings_height": 3.8409047364423694,
  "conductor": "197636709088758016",
  "bad_primes": [
    "2",
    "7",
    "11",
    "23",
    "29",
    "541"
  ],
  "discriminant": "702896543292215284808384512",
  "regulator": "167332.33703693691038448571245977039842477870795011",
  "points": [
    [
      "-6496",
      "1081584"
    ],
    [
      "-3087",
      "810411"
    ],
    [
      "-2023",
      "664377"
    ],
    [
      "-8679671/2209",
      "93598233729/103823"
    ],
    [
      "-22743/4",
      "8313963/8"
    ],
    [
      "-1624/25",
      "15020376/125"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogeny partner of curve #5231: https://elliptic-rank.icarm.cloud/curve/5231. Obtained from the Aguirre–Castaneda–Peral parametrization at tuple (6,11,21,22), 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. Six rational points checked exactly; PARI/GP returned rank bounds [6,6]. Rational torsion C2.",
  "created_at": "2026-10-21 10:43:32",
  "updated_at": "2026-10-21 10:43:32"
}