{
  "id": 5345,
  "curve_key": "6340699200:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-132097900",
    "0"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 67.71076464967918,
  "faltings_height": 3.710804132448089,
  "conductor": "1395988414752800",
  "bad_primes": [
    "2",
    "5",
    "11",
    "29",
    "41",
    "101"
  ],
  "discriminant": "147525710410539119296000000",
  "regulator": "6652.9109736420795773172939918061661159807134436055",
  "points": [
    [
      "-9020",
      "676500"
    ],
    [
      "-5555",
      "749925"
    ],
    [
      "-4444",
      "706596"
    ],
    [
      "-1595",
      "454575"
    ],
    [
      "11716",
      "246036"
    ],
    [
      "-7975/4",
      "4043325/8"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogeny partner of curve #5344: https://elliptic-rank.icarm.cloud/curve/5344. Both arise from the Aguirre–Castañeda–Peral parametrization at tuple (6,10,20,29), 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 14:46:03",
  "updated_at": "2026-10-21 14:46:03"
}