{
  "id": 5094,
  "curve_key": "-8465184:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "176358",
    "0"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 47.85441692962636,
  "faltings_height": 2.0561084891103536,
  "conductor": "1990537226496",
  "bad_primes": [
    "2",
    "3",
    "7",
    "13",
    "17",
    "19"
  ],
  "discriminant": "-351047164190381568",
  "regulator": "218.1755669272051790496590610311079079337337216",
  "points": [
    [
      "247",
      "7657"
    ],
    [
      "399",
      "11571"
    ],
    [
      "2584",
      "133076"
    ],
    [
      "6426",
      "516222"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castaneda–Peral parametrization at tuple (5,7,11,15), 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 02:38:55",
  "updated_at": "2026-10-21 02:38:55"
}