{
  "id": 5071,
  "curve_key": "-53673958800:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "1118207475",
    "0"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 74.11858134687905,
  "faltings_height": 4.244788857214745,
  "conductor": "177832953905191200",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "19",
    "43",
    "79"
  ],
  "discriminant": "-89484362261151858514899000000",
  "regulator": "3715.8930157299186761226525629522604644410599723926",
  "points": [
    [
      "1995",
      "1496250"
    ],
    [
      "18249",
      "5146218"
    ],
    [
      "21945",
      "5925150"
    ],
    [
      "67545",
      "19588050"
    ],
    [
      "82555",
      "25592050"
    ],
    [
      "21945/4",
      "20079675/8"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castaneda–Peral parametrization at tuple (10,18,36,60), 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. Six rational points checked exactly; PARI/GP returned rank bounds [6,6]. Rational torsion C2.",
  "created_at": "2026-10-21 02:04:55",
  "updated_at": "2026-10-21 02:04:55"
}