{
  "id": 5265,
  "curve_key": "758640:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-15805",
    "0"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 40.61784790667283,
  "faltings_height": 1.4530610705308926,
  "conductor": "7993536800",
  "bad_primes": [
    "2",
    "5",
    "29",
    "109"
  ],
  "discriminant": "252675698248000",
  "regulator": "161.2704960207595304635120687844158365834192768",
  "points": [
    [
      "-125",
      "150"
    ],
    [
      "-116",
      "522"
    ],
    [
      "-109",
      "654"
    ],
    [
      "-981/25",
      "93522/125"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogenous endpoint of the Aguirre–Castañeda–Peral parametrization at tuple (4,7,8,11), 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 11:32:42",
  "updated_at": "2026-10-21 11:32:42"
}