{
  "id": 5256,
  "curve_key": "-15504:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "323",
    "0"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 28.946560002391642,
  "faltings_height": 0.48045374517412726,
  "conductor": "3338528",
  "bad_primes": [
    "2",
    "17",
    "19"
  ],
  "discriminant": "-2156689088",
  "regulator": "16.860433458433346303259776317680119272494596",
  "points": [
    [
      "1",
      "18"
    ],
    [
      "17",
      "102"
    ],
    [
      "1292/49",
      "56202/343"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogenous endpoint of the Aguirre–Castañeda–Peral parametrization at tuple (8,10,11,14), 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 11:20:34",
  "updated_at": "2026-10-21 11:20:34"
}