{
  "id": 5206,
  "curve_key": "-1174800:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "24475",
    "0"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 41.929825434919806,
  "faltings_height": 1.5623925312181408,
  "conductor": "766752800",
  "bad_primes": [
    "2",
    "5",
    "11",
    "89"
  ],
  "discriminant": "-938313739000000",
  "regulator": "81.60749749313784856849948855125080744086383906",
  "points": [
    [
      "5",
      "350"
    ],
    [
      "245",
      "4550"
    ],
    [
      "495",
      "11550"
    ],
    [
      "55/9",
      "10450/27"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castaneda–Peral parametrization at tuple (4,10,14,20), 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. Selected by height screening in a bounded tuple search following the parametrization search described by David Renshaw on https://elliptic-rank.icarm.cloud/curve/4986. Four rational points checked exactly; PARI/GP returned rank bounds [4,4]. Rational torsion C2.",
  "created_at": "2026-10-21 09:59:54",
  "updated_at": "2026-10-21 09:59:54"
}