{
  "id": 5100,
  "curve_key": "-415445184:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "8655108",
    "0"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 59.53458370727612,
  "faltings_height": 3.0294557205811667,
  "conductor": "149821788983328",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "17",
    "19",
    "29"
  ],
  "discriminant": "-41495160460925249261568",
  "regulator": "195.6184165092622517504150871774905791737940326",
  "points": [
    [
      "1122",
      "105468"
    ],
    [
      "1309",
      "116501"
    ],
    [
      "2058",
      "162876"
    ],
    [
      "5236",
      "434588"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castaneda–Peral parametrization at tuple (4,8,12,20), 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 02:46:35",
  "updated_at": "2026-10-21 02:46:35"
}