{
  "id": 5260,
  "curve_key": "313200:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-6525",
    "0"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 37.963791729296354,
  "faltings_height": 1.2318897224161867,
  "conductor": "6055200",
  "bad_primes": [
    "2",
    "3",
    "5",
    "29"
  ],
  "discriminant": "17779581000000",
  "regulator": "9.8156370961162397281391004419767026788522723",
  "points": [
    [
      "-45",
      "450"
    ],
    [
      "-20",
      "350"
    ],
    [
      "225",
      "3150"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained 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 11:26:01",
  "updated_at": "2026-10-21 11:26:01"
}