{
  "id": 3468,
  "curve_key": "5159226586897:-12262864667045792761",
  "ainvs": [
    "1",
    "0",
    "0",
    "-107483887227",
    "14193121444682769"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    3
  ],
  "naive_height": 87.90621447347051,
  "faltings_height": 5.258583544062077,
  "conductor": "9730454816874",
  "bad_primes": [
    "2",
    "3",
    "11",
    "31",
    "1093",
    "1933",
    "2251"
  ],
  "discriminant": "-7552964321094031954338987865276416",
  "regulator": "695.47262958171095561625435723303505667891994827237",
  "points": [
    [
      "445722",
      "-234393699"
    ],
    [
      "245214",
      "-50928879"
    ],
    [
      "157038",
      "-34528143"
    ],
    [
      "144278",
      "41023817"
    ],
    [
      "1734702",
      "-2247596319"
    ],
    [
      "179742",
      "26000721"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/3. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-27 05:43:07",
  "updated_at": "2026-09-27 05:43:07"
}