{
  "id": 5216,
  "curve_key": "-87147984:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "1815583",
    "0"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 54.84935459139787,
  "faltings_height": 2.639019960924646,
  "conductor": "105482932156448",
  "bad_primes": [
    "2",
    "7",
    "11",
    "17",
    "19",
    "73"
  ],
  "discriminant": "-383026036826800658368",
  "regulator": "1280.06743967292403624189847127670782938084695031",
  "points": [
    [
      "119",
      "14756"
    ],
    [
      "476",
      "31178"
    ],
    [
      "1241",
      "64532"
    ],
    [
      "4599",
      "324996"
    ],
    [
      "1241/4",
      "194837/8"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castaneda–Peral parametrization at tuple (4,7,12,14), 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 following the parametrization search described by David Renshaw on https://elliptic-rank.icarm.cloud/curve/4986. Five rational points checked exactly; PARI/GP returned rank bounds [5,5]. Rational torsion C2.",
  "created_at": "2026-10-21 10:22:17",
  "updated_at": "2026-10-21 10:22:17"
}