{
  "id": 1573,
  "curve_key": "-612454004752005023903:-12868742845203707789869891977361",
  "ainvs": [
    "1",
    "0",
    "0",
    "12759458432333437998",
    "14894378294123135181710531844"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    9
  ],
  "naive_height": 143.59201655762865,
  "faltings_height": 10.076952730250346,
  "conductor": "10304769686478",
  "bad_primes": [
    "2",
    "3",
    "17",
    "53",
    "61",
    "67",
    "71",
    "6569"
  ],
  "discriminant": "-228782397693266310072055079904175130041313248573751558294016",
  "regulator": "3151.3427442967447747585978134755387565081194",
  "points": [
    [
      "8478975643503930/2686321",
      "1295765051983627315846572/4402880119"
    ],
    [
      "332913842506323/432964",
      "45188889389254026877707/284890312"
    ],
    [
      "624890555152398/3988009",
      "1035250889918447338988346/7964053973"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/9. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 01:17:19",
  "updated_at": "2026-09-25 01:17:19"
}