{
  "id": 5211,
  "curve_key": "7247856:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-150997",
    "0"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 47.388648776873765,
  "faltings_height": 2.017294476380971,
  "conductor": "729603008288",
  "bad_primes": [
    "2",
    "7",
    "11",
    "37",
    "53"
  ],
  "discriminant": "220335730884926272",
  "regulator": "459.493137556803575594928700421525701014306051076",
  "points": [
    [
      "-371",
      "2226"
    ],
    [
      "-308",
      "4158"
    ],
    [
      "-259",
      "4662"
    ],
    [
      "477",
      "6042"
    ],
    [
      "-2849/25",
      "495726/125"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castaneda–Peral parametrization at tuple (8,12,15,16), 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 10:15:37",
  "updated_at": "2026-10-21 10:15:37"
}