{
  "id": 5207,
  "curve_key": "4699200:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-97900",
    "0"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 46.088708518279475,
  "faltings_height": 1.9089661214981135,
  "conductor": "766752800",
  "bad_primes": [
    "2",
    "5",
    "11",
    "89"
  ],
  "discriminant": "60052079296000000",
  "regulator": "81.60749749313784856849948855125080744086383906",
  "points": [
    [
      "-275",
      "2475"
    ],
    [
      "-220",
      "3300"
    ],
    [
      "-176",
      "3432"
    ],
    [
      "320",
      "1200"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogeny partner of curve #5206: https://elliptic-rank.icarm.cloud/curve/5206. Obtained from the Aguirre–Castaneda–Peral parametrization at tuple (4,10,14,20), 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. Four rational points checked exactly; PARI/GP returned rank bounds [4,4]. Rational torsion C2.",
  "created_at": "2026-10-21 10:07:40",
  "updated_at": "2026-10-21 10:07:40"
}