{
  "id": 5199,
  "curve_key": "-277200:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "5775",
    "0"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 37.59748363889366,
  "faltings_height": 1.2013640482159618,
  "conductor": "42688800",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11"
  ],
  "discriminant": "-12326391000000",
  "regulator": "9.5307479682441764480713702439671676142254603",
  "points": [
    [
      "15",
      "300"
    ],
    [
      "25",
      "400"
    ],
    [
      "135",
      "1800"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castaneda–Peral parametrization at tuple (1,2,3,4), 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 09:36:45",
  "updated_at": "2026-10-21 09:36:45"
}