{
  "id": 5202,
  "curve_key": "1843776:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-38412",
    "0"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 43.28197860199726,
  "faltings_height": 1.675071961807929,
  "conductor": "327884832",
  "bad_primes": [
    "2",
    "3",
    "11",
    "97"
  ],
  "discriminant": "3627277104033792",
  "regulator": "46.23998128906914056235699417963242129488261312",
  "points": [
    [
      "-194",
      "388"
    ],
    [
      "-162",
      "1404"
    ],
    [
      "-99",
      "1683"
    ],
    [
      "2134",
      "98164"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogeny partner of curve #5201: https://elliptic-rank.icarm.cloud/curve/5201. Obtained from the Aguirre–Castaneda–Peral parametrization at tuple (3,6,7,10), 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 09:43:41",
  "updated_at": "2026-10-21 09:43:41"
}