{
  "id": 5293,
  "curve_key": "-49336462800:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "1027842975",
    "0"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 73.86578776549689,
  "faltings_height": 4.223722725432897,
  "conductor": "150252256889863200",
  "bad_primes": [
    "2",
    "3",
    "5",
    "23",
    "31",
    "43",
    "149"
  ],
  "discriminant": "-69496077024963557473959000000",
  "regulator": "15683.191504925859579027652146484540786703734446087",
  "points": [
    [
      "6705",
      "2682000"
    ],
    [
      "23095",
      "6004700"
    ],
    [
      "36505",
      "9282700"
    ],
    [
      "4945/4",
      "9024625/8"
    ],
    [
      "147361/9",
      "124372684/27"
    ],
    [
      "369520/9",
      "284992300/27"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogeny partner of curve #5288: https://elliptic-rank.icarm.cloud/curve/5288. Both arise from the Aguirre–Castañeda–Peral parametrization at tuple (2,11,17,19), 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.",
  "created_at": "2026-10-21 12:17:29",
  "updated_at": "2026-10-21 12:17:29"
}