{
  "id": 5261,
  "curve_key": "-1252800:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "26100",
    "0"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 42.12267481265603,
  "faltings_height": 1.5784633126961594,
  "conductor": "6055200",
  "bad_primes": [
    "2",
    "3",
    "5",
    "29"
  ],
  "discriminant": "-1137893184000000",
  "regulator": "4.9078185480581198640695502209883513394261362",
  "points": [
    [
      "6",
      "396"
    ],
    [
      "30",
      "900"
    ],
    [
      "150",
      "2700"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogeny partner of curve #5260: https://elliptic-rank.icarm.cloud/curve/5260. Both arise from the Aguirre–Castañeda–Peral parametrization at tuple (2,3,9,14), 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 11:27:18",
  "updated_at": "2026-10-21 11:27:18"
}