{
  "id": 5225,
  "curve_key": "-223918800:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "4664975",
    "0"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 57.68038213230092,
  "faltings_height": 2.874938922666567,
  "conductor": "27855349440800",
  "bad_primes": [
    "2",
    "5",
    "7",
    "19",
    "23",
    "61"
  ],
  "discriminant": "-6497225437879799000000",
  "regulator": "898.631325258750830562534804877865895171342937948",
  "points": [
    [
      "380",
      "42750"
    ],
    [
      "1159",
      "83448"
    ],
    [
      "2745",
      "183000"
    ],
    [
      "11495",
      "1254000"
    ],
    [
      "305/4",
      "150975/8"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castaneda–Peral parametrization at tuple (5,10,12,15), 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 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 10:32:36",
  "updated_at": "2026-10-21 10:32:36"
}