{
  "id": 5243,
  "curve_key": "-1073574532800:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "22366136100",
    "0"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 83.106044644713,
  "faltings_height": 4.99374413203424,
  "conductor": "330739863830560800",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "23",
    "43",
    "89"
  ],
  "discriminant": "-716065687826963690597688384000000",
  "regulator": "169712.94880147950917434041675278816757621960832911",
  "points": [
    [
      "1780",
      "6310100"
    ],
    [
      "6400",
      "11975200"
    ],
    [
      "145684",
      "79689148"
    ],
    [
      "144400/169",
      "9604458200/2197"
    ],
    [
      "910525/9",
      "1550624075/27"
    ],
    [
      "2174725/9",
      "3771612775/27"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogeny partner of curve #5242: https://elliptic-rank.icarm.cloud/curve/5242. Obtained from the Aguirre–Castaneda–Peral parametrization at tuple (5,6,12,20), 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 10:57:45",
  "updated_at": "2026-10-21 10:57:45"
}