{
  "id": 1407,
  "curve_key": "343643622237120481:-201447755172279002244130129",
  "ainvs": [
    "1",
    "0",
    "0",
    "-7159242129940010",
    "233157123445386075102372"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    12
  ],
  "naive_height": 121.13514460024535,
  "faltings_height": 7.4633154126890595,
  "conductor": "3769747410",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "13",
    "29",
    "157",
    "193"
  ],
  "discriminant": "1861574246074146370176957616484253696000",
  "regulator": "67.0856676827923225891482941830067478661322",
  "points": [
    [
      "10483350388/289",
      "715092314326694/4913"
    ],
    [
      "46946158132/961",
      "-604305634310/29791"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/12. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 23:22:34",
  "updated_at": "2026-09-24 23:22:34"
}