{
  "id": 5203,
  "curve_key": "-599184:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "12483",
    "0"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 39.90997202567682,
  "faltings_height": 1.3940714137812258,
  "conductor": "554045472",
  "bad_primes": [
    "2",
    "3",
    "19",
    "73"
  ],
  "discriminant": "-124490693285568",
  "regulator": "100.7029554965005419957921527815216782955889979",
  "points": [
    [
      "19",
      "494"
    ],
    [
      "76",
      "1178"
    ],
    [
      "81",
      "1242"
    ],
    [
      "1539",
      "60534"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castaneda–Peral parametrization at tuple (1,3,6,10), 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. Selected by height screening in a bounded tuple search, following the parametrization search described by David Renshaw on https://elliptic-rank.icarm.cloud/curve/4986. Four rational points checked exactly; PARI/GP returned rank bounds [4,4]. Rational torsion C2.",
  "created_at": "2026-10-21 09:47:49",
  "updated_at": "2026-10-21 09:47:49"
}