{
  "id": 5224,
  "curve_key": "-600836544:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "12517428",
    "0"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 60.641500446390936,
  "faltings_height": 3.1216987821740685,
  "conductor": "313372007470368",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "19",
    "23",
    "31"
  ],
  "discriminant": "-125523569303225394352128",
  "regulator": "1472.4639559029447247399718710320440573655950741719",
  "points": [
    [
      "462",
      "76692"
    ],
    [
      "966",
      "113988"
    ],
    [
      "1254",
      "132924"
    ],
    [
      "2622",
      "225492"
    ],
    [
      "8694",
      "875196"
    ],
    [
      "27094/25",
      "15226828/125"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogeny partner of curve #5223: https://elliptic-rank.icarm.cloud/curve/5223. Obtained from the Aguirre–Castaneda–Peral parametrization at tuple (3,12,18,21), 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. Six rational points checked exactly; PARI/GP returned rank bounds [6,6]. Rational torsion C2.",
  "created_at": "2026-10-21 10:31:23",
  "updated_at": "2026-10-21 10:31:23"
}