{
  "id": 5284,
  "curve_key": "-18619344:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "387903",
    "0"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 50.21913479477428,
  "faltings_height": 2.2531683112060135,
  "conductor": "4814999597088",
  "bad_primes": [
    "2",
    "3",
    "31",
    "43",
    "97"
  ],
  "discriminant": "-3735505577418452928",
  "regulator": "1077.62417267559002768601971126811684715959605326",
  "points": [
    [
      "31",
      "3472"
    ],
    [
      "97",
      "6208"
    ],
    [
      "129",
      "7224"
    ],
    [
      "1161",
      "44892"
    ],
    [
      "6321/16",
      "938217/64"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogenous endpoint of the Aguirre–Castañeda–Peral parametrization at tuple (3,5,11,19), 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 12:08:43",
  "updated_at": "2026-10-21 12:08:43"
}