{
  "id": 5307,
  "curve_key": "580948776023616:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-12103099500492",
    "0"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 101.98705111110591,
  "faltings_height": 6.567161337566983,
  "conductor": "32552226115291044424053792",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "13",
    "19",
    "31",
    "43",
    "89",
    "149"
  ],
  "discriminant": "113467055511133923083126332354062278111232",
  "regulator": "1072049.49983461761813084381343260322442462281433470833",
  "points": [
    [
      "-2457308",
      "3860430868"
    ],
    [
      "-573872",
      "2599353224"
    ],
    [
      "-560538",
      "2570627268"
    ],
    [
      "-483626",
      "2395883204"
    ],
    [
      "-58652",
      "842418676"
    ],
    [
      "7547446",
      "18400673348"
    ],
    [
      "-5528943/4",
      "30027689433/8"
    ],
    [
      "72785713/16",
      "400103064361/64"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castañeda–Peral parametrization at tuple (12,16,18,19), 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 12:52:24",
  "updated_at": "2026-10-21 12:52:24"
}