{
  "id": 5432,
  "curve_key": "-2640:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "55",
    "0"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 23.635602588421087,
  "faltings_height": 0.037873960676580866,
  "conductor": "96800",
  "bad_primes": [
    "2",
    "5",
    "11"
  ],
  "discriminant": "-10648000",
  "regulator": "3.98966243658767309624858751268189906811308",
  "points": [
    [
      "5",
      "20"
    ],
    [
      "9/4",
      "93/8"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Quartic twist y^2 = x^3 + 55x. PARI/GP 2.17.4 returned rank bounds [2,2] with generators [5,20] and [9/4,93/8], rational torsion Z/2Z generated by [0,0], conductor 96800, minimal discriminant -10648000, and bad primes 2, 5 and 11. Found in a bounded exact small-coefficient quartic-twist sweep.",
  "created_at": "2026-10-21 23:54:03",
  "updated_at": "2026-10-21 23:54:03"
}