{
  "id": 5302,
  "curve_key": "-4881837504:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "101704948",
    "0"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 66.92636257093156,
  "faltings_height": 3.6454372925524536,
  "conductor": "20687792895365408",
  "bad_primes": [
    "2",
    "17",
    "19",
    "223",
    "353"
  ],
  "discriminant": "-67329628821053064372441088",
  "regulator": "17029.818929277147392034590510657859401192751087340",
  "points": [
    [
      "68",
      "83164"
    ],
    [
      "446",
      "213188"
    ],
    [
      "1412",
      "382652"
    ],
    [
      "157438/9",
      "72106604/27"
    ],
    [
      "207613/9",
      "103242979/27"
    ],
    [
      "2676446/121",
      "4812249908/1331"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castañeda–Peral parametrization at tuple (4,11,13,20), 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 12:45:05",
  "updated_at": "2026-10-21 12:45:05"
}