{
  "id": 1575,
  "curve_key": "2185810483995109225297:-102355206117808887764641989915481",
  "ainvs": [
    "1",
    "0",
    "0",
    "-45537718416564775527",
    "118466673743669180600288571849"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    9
  ],
  "naive_height": 147.4120039329322,
  "faltings_height": 10.074964276440648,
  "conductor": "18220416229218",
  "bad_primes": [
    "2",
    "3",
    "7",
    "17",
    "19",
    "23",
    "73",
    "251",
    "3187"
  ],
  "discriminant": "-19267354835340708142960681968965086013807586893309172880896",
  "regulator": "782.03115895827218788144369073745492868313363",
  "points": [
    [
      "72980912200518/18769",
      "35352619874697287421/2571353"
    ],
    [
      "18584660650878/28561",
      "1440869765230304885133/4826809"
    ],
    [
      "307220183791337250/61105489",
      "61551897084123964023286809/477661607513"
    ]
  ],
  "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 01:19:19",
  "updated_at": "2026-09-25 01:19:19"
}