{
  "id": 5236,
  "curve_key": "-36118406592:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "752466804",
    "0"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 72.93020535070926,
  "faltings_height": 4.145757524200595,
  "conductor": "1132412582243948832",
  "bad_primes": [
    "2",
    "3",
    "19",
    "23",
    "43",
    "47",
    "71"
  ],
  "discriminant": "-27267292050255722430546333696",
  "regulator": "15081.306864827138322561402483971274886624357712509",
  "points": [
    [
      "142",
      "326884"
    ],
    [
      "4902",
      "1950996"
    ],
    [
      "6486",
      "2270100"
    ],
    [
      "162150",
      "66222060"
    ],
    [
      "98857/4",
      "46435829/8"
    ],
    [
      "153502/9",
      "113898484/27"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogeny partner of curve #5235: https://elliptic-rank.icarm.cloud/curve/5235. Obtained from the Aguirre–Castaneda–Peral parametrization at tuple (4,7,11,13), 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 10:48:41",
  "updated_at": "2026-10-21 10:48:41"
}