{
  "id": 1482,
  "curve_key": "508611028356853924945:-17492911698625336005134463940825",
  "ainvs": [
    "1",
    "0",
    "0",
    "-10596063090767790103",
    "20246425576229652155786091497"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    10
  ],
  "naive_height": 143.8786970858096,
  "faltings_height": 10.0207160802401,
  "conductor": "22176069865950",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "31",
    "61",
    "83",
    "941"
  ],
  "discriminant": "-100944343291729053680130496829209274169579841372378497024000",
  "regulator": "660.54176133636823545548056037558500604314791",
  "points": [
    [
      "86557190806/225",
      "429925436799962459/3375"
    ],
    [
      "-153244167082/49",
      "51787867600222307/343"
    ],
    [
      "2982844086655766/1050625",
      "123008732639297532371989/1076890625"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/10. From Michael Rubinstein's github repository:\r\nhttps://github.com/mrubinst/elliptic-curves-by-rank\r\n\r\nAlso found by Rathbun (2003) (see https://web.math.pmf.unizg.hr/~duje/tors/z10old3.html=",
  "created_at": "2026-09-25 00:26:19",
  "updated_at": "2026-09-25 00:26:19"
}