{
  "id": 5341,
  "curve_key": "-346696330411200:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "7222840216900",
    "0"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 100.43841115268678,
  "faltings_height": 6.438108007698722,
  "conductor": "4173553663909443123648800",
  "bad_primes": [
    "2",
    "5",
    "7",
    "11",
    "19",
    "43",
    "71",
    "103",
    "157"
  ],
  "discriminant": "-24115929000860377498538969689139776000000",
  "regulator": "940709.984832394386311485904993272212172062005324368051",
  "points": [
    [
      "207746",
      "1228609844"
    ],
    [
      "398610",
      "1715351700"
    ],
    [
      "1506890",
      "3782293900"
    ],
    [
      "2761460",
      "6403400900"
    ],
    [
      "5193650",
      "13326905900"
    ],
    [
      "21157290",
      "98099301300"
    ],
    [
      "2350810/9",
      "37260338500/27"
    ],
    [
      "33421234/9",
      "238503474748/27"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogeny partner of curve #5340: https://elliptic-rank.icarm.cloud/curve/5340. Both arise from the Aguirre–Castañeda–Peral parametrization at tuple (13,18,23,27), 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 14:13:56",
  "updated_at": "2026-10-21 14:13:56"
}