{
  "id": 5191,
  "curve_key": "-109200:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "2275",
    "0"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 34.802809026878826,
  "faltings_height": 0.9684744972147258,
  "conductor": "6624800",
  "bad_primes": [
    "2",
    "5",
    "7",
    "13"
  ],
  "discriminant": "-753571000000",
  "regulator": "10.674153010921694034946179652183597344933514",
  "points": [
    [
      "35",
      "350"
    ],
    [
      "140",
      "1750"
    ],
    [
      "560",
      "13300"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castaneda–Peral parametrization at tuple (2,4,8,14), 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. Three rational points checked exactly; PARI/GP returned rank bounds [3,3]. Rational torsion C2.",
  "created_at": "2026-10-21 09:14:42",
  "updated_at": "2026-10-21 09:14:42"
}