{
  "id": 5259,
  "curve_key": "37296:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-777",
    "0"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 31.579924083826615,
  "faltings_height": 0.699900751960375,
  "conductor": "19319328",
  "bad_primes": [
    "2",
    "3",
    "7",
    "37"
  ],
  "discriminant": "30022235712",
  "regulator": "10.031929271311089512659115714673236156500951",
  "points": [
    [
      "-27",
      "36"
    ],
    [
      "-21",
      "84"
    ],
    [
      "-3",
      "48"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogenous endpoint of the Aguirre–Castañeda–Peral parametrization at tuple (2,3,5,6), 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 11:24:47",
  "updated_at": "2026-10-21 11:24:47"
}