{
  "id": 5252,
  "curve_key": "76608:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-1596",
    "0"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 33.73937036675294,
  "faltings_height": 0.8798546088709016,
  "conductor": "5094432",
  "bad_primes": [
    "2",
    "3",
    "7",
    "19"
  ],
  "discriminant": "260182831104",
  "regulator": "5.8435537101344736516437896305245178475948760",
  "points": [
    [
      "-38",
      "76"
    ],
    [
      "-3",
      "69"
    ],
    [
      "114",
      "1140"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogeny partner of curve #5251: https://elliptic-rank.icarm.cloud/curve/5251. The source curve comes from the Aguirre–Castañeda–Peral parametrization at tuple (1,3,12,14), 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 11:14:43",
  "updated_at": "2026-10-21 11:14:43"
}