{
  "id": 5273,
  "curve_key": "11809462896:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-246030477",
    "0"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 69.576500962124,
  "faltings_height": 3.8662821584851574,
  "conductor": "1936991859611120928",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "17",
    "31",
    "43",
    "47"
  ],
  "discriminant": "953118062330482232841045312",
  "regulator": "6867.8593335049160478979166973384187798997337613940",
  "points": [
    [
      "-15351",
      "399126"
    ],
    [
      "-14663",
      "674498"
    ],
    [
      "-14229",
      "787338"
    ],
    [
      "-2021",
      "699266"
    ],
    [
      "24123",
      "2846514"
    ],
    [
      "64108",
      "15738514"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castañeda–Peral parametrization at tuple (8,11,13,14), 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.",
  "created_at": "2026-10-21 11:45:05",
  "updated_at": "2026-10-21 11:45:05"
}