{
  "id": 5343,
  "curve_key": "57156550886016:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-1190761476792",
    "0"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 95.03044537733189,
  "faltings_height": 5.987444193085815,
  "conductor": "5671651578447459018445056",
  "bad_primes": [
    "2",
    "3",
    "37",
    "101",
    "113",
    "293",
    "401"
  ],
  "discriminant": "108057347350428386230136538401138245632",
  "regulator": "6622755.96673657482888199164032015166204282044665184925",
  "points": [
    [
      "-794616",
      "666682824"
    ],
    [
      "-614607",
      "706885851"
    ],
    [
      "-150072",
      "418712424"
    ],
    [
      "1225033",
      "616191599"
    ],
    [
      "-26278584/25",
      "37552096536/125"
    ],
    [
      "-313575/4",
      "2437920195/8"
    ],
    [
      "30625825/9",
      "160534449485/27"
    ],
    [
      "107008288/49",
      "958847764624/343"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogeny partner of curve #5342: https://elliptic-rank.icarm.cloud/curve/5342. Both arise from the Aguirre–Castañeda–Peral parametrization at tuple (6,11,24,28), 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 14:31:23",
  "updated_at": "2026-10-21 14:31:23"
}