{
  "id": 1721,
  "curve_key": "6410383836940980976:-17085401885265400174879523224",
  "ainvs": [
    "0",
    "1",
    "1",
    "-133549663269603770",
    "19774770656022103186613006"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    5
  ],
  "naive_height": 130.01604383765218,
  "faltings_height": 8.773501928946297,
  "conductor": "90296038026285",
  "bad_primes": [
    "3",
    "5",
    "7",
    "13",
    "17",
    "19",
    "23",
    "29",
    "41",
    "7489"
  ],
  "discriminant": "-16486643724513047950060682029660905215239721139196875",
  "regulator": "138.633130414957998880711520872548236479564114654",
  "points": [
    [
      "53851840",
      "3569180159317"
    ],
    [
      "3380270305/16",
      "-63671844122087/64"
    ],
    [
      "11587282105/16",
      "1113827122129963/64"
    ],
    [
      "754063597/4",
      "-9114594545767/8"
    ],
    [
      "-379366400",
      "3980080890922"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/5. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 06:15:47",
  "updated_at": "2026-09-25 06:15:47"
}