{
  "id": 5192,
  "curve_key": "436800:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-9100",
    "0"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 38.961692110238495,
  "faltings_height": 1.3150480874946986,
  "conductor": "6624800",
  "bad_primes": [
    "2",
    "5",
    "7",
    "13"
  ],
  "discriminant": "48228544000000",
  "regulator": "5.3370765054608470174730898260917986724667568",
  "points": [
    [
      "-90",
      "300"
    ],
    [
      "-35",
      "525"
    ],
    [
      "910",
      "27300"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogeny partner of curve #5191: https://elliptic-rank.icarm.cloud/curve/5191. Obtained from the Aguirre–Castaneda–Peral parametrization at tuple (2,4,8,14), 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. Points transported by the rational 2-isogeny and reduced with PARI/GP. Three rational points checked exactly; PARI/GP returned rank bounds [3,3]. Rational torsion C2.",
  "created_at": "2026-10-21 09:16:11",
  "updated_at": "2026-10-21 09:16:11"
}