{
  "id": 5226,
  "curve_key": "895675200:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-18659900",
    "0"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 61.83926521566059,
  "faltings_height": 3.2215125129465396,
  "conductor": "27855349440800",
  "bad_primes": [
    "2",
    "5",
    "7",
    "19",
    "23",
    "61"
  ],
  "discriminant": "415822428024307136000000",
  "regulator": "449.315662629375415281267402438932947585671468974",
  "points": [
    [
      "-4270",
      "42700"
    ],
    [
      "-3150",
      "165900"
    ],
    [
      "-2806",
      "173972"
    ],
    [
      "-2070",
      "172500"
    ],
    [
      "-475",
      "93575"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogeny partner of curve #5225: https://elliptic-rank.icarm.cloud/curve/5225. Obtained from the Aguirre–Castaneda–Peral parametrization at tuple (5,10,12,15), 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. Five rational points checked exactly; PARI/GP returned rank bounds [5,5]. Rational torsion C2.",
  "created_at": "2026-10-21 10:34:48",
  "updated_at": "2026-10-21 10:34:48"
}