{
  "id": 1728,
  "curve_key": "2232814673892401298001:-108366991181862344401354804171225",
  "ainvs": [
    "1",
    "0",
    "0",
    "-46516972372758360375",
    "125424758308464262026060419241"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    5
  ],
  "naive_height": 147.52615264612422,
  "faltings_height": 10.202424460907284,
  "conductor": "1273798114327323858",
  "bad_primes": [
    "2",
    "3",
    "7",
    "13",
    "23",
    "31",
    "41",
    "189599",
    "420919"
  ],
  "discriminant": "-354047152389528622933339511721714955274205756173990240452608",
  "regulator": "7476.6226570438125782404905284687714770019380378702",
  "points": [
    [
      "2456405910",
      "161188020066549"
    ],
    [
      "621356694",
      "311064026888181"
    ],
    [
      "3079911702",
      "106638930504309"
    ],
    [
      "-6316712262",
      "408924759189513"
    ],
    [
      "3669906198",
      "64332494579829"
    ],
    [
      "334833366",
      "331491707557941"
    ]
  ],
  "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 06:16:57",
  "updated_at": "2026-09-25 06:16:57"
}