{
  "id": 5095,
  "curve_key": "33860736:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-705432",
    "0"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 52.01330001298603,
  "faltings_height": 2.4026820793903263,
  "conductor": "1990537226496",
  "bad_primes": [
    "2",
    "3",
    "7",
    "13",
    "17",
    "19"
  ],
  "discriminant": "22467018508184420352",
  "regulator": "218.1755669272051790496590610311079079337337216",
  "points": [
    [
      "-608",
      "14288"
    ],
    [
      "-399",
      "14763"
    ],
    [
      "-152",
      "10184"
    ],
    [
      "-399/4",
      "66633/8"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogeny partner of curve #5094: https://elliptic-rank.icarm.cloud/curve/5094. Obtained from the Aguirre–Castaneda–Peral parametrization at tuple (5,7,11,15), 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. Points transported by the rational 2-isogeny and reduced with PARI/GP. Four rational points checked exactly; PARI/GP returned rank bounds [4,4]. Rational torsion C2.",
  "created_at": "2026-10-21 02:40:05",
  "updated_at": "2026-10-21 02:40:05"
}