{
  "id": 5310,
  "curve_key": "-96976464:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "2020343",
    "0"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 55.16993660355226,
  "faltings_height": 2.6657351286041786,
  "conductor": "130617146804768",
  "bad_primes": [
    "2",
    "13",
    "23",
    "29",
    "233"
  ],
  "discriminant": "-527782876453970790848",
  "regulator": "7065.3336253517796691711269526374116711846161054094",
  "points": [
    [
      "29",
      "7656"
    ],
    [
      "299",
      "25116"
    ],
    [
      "637",
      "39312"
    ],
    [
      "2691",
      "157872"
    ],
    [
      "667/9",
      "330832/27"
    ],
    [
      "3393/4",
      "385671/8"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogenous endpoint of the Aguirre–Castañeda–Peral parametrization at tuple (8,16,19,22), 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.",
  "created_at": "2026-10-21 12:59:38",
  "updated_at": "2026-10-21 12:59:38"
}