{
  "id": 5315,
  "curve_key": "-154164215760:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "3211754495",
    "0"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 77.28385262199431,
  "faltings_height": 4.50856146347435,
  "conductor": "330091741956886560800",
  "bad_primes": [
    "2",
    "5",
    "17",
    "29",
    "43",
    "157",
    "193"
  ],
  "discriminant": "-2120347271984821015708981592000",
  "regulator": "3129438.333288427805625328752664174422827147886939354",
  "points": [
    [
      "3625",
      "3419100"
    ],
    [
      "5041/9",
      "36215396/27"
    ],
    [
      "21199/25",
      "206308668/125"
    ],
    [
      "935680/9",
      "1030826960/27"
    ],
    [
      "978895/49",
      "2913191520/343"
    ],
    [
      "8073895/961",
      "156443225220/29791"
    ],
    [
      "56278705/9",
      "422215311140/27"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogenous endpoint of the Aguirre–Castañeda–Peral parametrization at tuple (2,16,19,22), 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 13:05:59",
  "updated_at": "2026-10-21 13:05:59"
}