{
  "id": 1576,
  "curve_key": "442074026287791577375921:-2123407345028385321445580062835332969",
  "ainvs": [
    "1",
    "0",
    "0",
    "-9209875547662324528665",
    "2457647390078382187970079138274617"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    9
  ],
  "naive_height": 167.29217076893087,
  "faltings_height": 11.998616562329216,
  "conductor": "43325814625170",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "79",
    "151",
    "1572283"
  ],
  "discriminant": "-2559296569119612491359075059975152016935424000000000000000000000000000",
  "regulator": "1511.9903475655419556378530139694784594106505",
  "points": [
    [
      "-157493922726",
      "1270782720330963"
    ],
    [
      "3214270042346874/22801",
      "216681276732511423811013/3442951"
    ],
    [
      "1291020867021354/3721",
      "45975817477174671522303/226981"
    ]
  ],
  "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 01:20:19",
  "updated_at": "2026-09-25 01:20:19"
}