{
  "id": 1486,
  "curve_key": "31778762611001463343441:-5664330264444860740436167768988761",
  "ainvs": [
    "1",
    "0",
    "0",
    "-662057554395863819655",
    "6555937806015269208934798118025"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    10
  ],
  "naive_height": 155.439255531401,
  "faltings_height": 10.657440639204177,
  "conductor": "3108927454710",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "29",
    "31",
    "491",
    "3049"
  ],
  "discriminant": "4866540456661344136153660564753100610592932697010583772800000",
  "regulator": "713.06236569147115504856286534844391131390977",
  "points": [
    [
      "-29362500090",
      "824960191854645"
    ],
    [
      "-525674136834/25",
      "417962847876438249/125"
    ],
    [
      "14025721285935829843065/935413940224",
      "291877363357743717333204478515/904702429738565632"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/10. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 00:30:19",
  "updated_at": "2026-09-25 00:30:19"
}