{
  "id": 5061,
  "curve_key": "571057200:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-11897025",
    "0"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 60.48899981320332,
  "faltings_height": 3.1089903960751,
  "conductor": "181170180928800",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "17",
    "31",
    "43"
  ],
  "discriminant": "107769308588222841000000",
  "regulator": "168.4135589981157477455643070890581198181061773",
  "points": [
    [
      "-3255",
      "65100"
    ],
    [
      "-2975",
      "95200"
    ],
    [
      "-1505",
      "120400"
    ],
    [
      "14620",
      "1717850"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castaneda–Peral parametrization at tuple (28,32,44,56), 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 in a bounded tuple search using a small-prime sieve and height screening, following the search approach 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 01:53:04",
  "updated_at": "2026-10-21 01:53:04"
}