{
  "id": 1405,
  "curve_key": "-52928721794657279:6610544966002561335839231",
  "ainvs": [
    "1",
    "0",
    "0",
    "1102681704055360",
    "-7651093618760970652608"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    12
  ],
  "naive_height": 115.52316759453653,
  "faltings_height": 7.715422752007433,
  "conductor": "2622052290",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "13",
    "17",
    "157",
    "229"
  ],
  "discriminant": "-111097483079635666647906513477894305015625000000",
  "regulator": "203.622990810958595993923703590640776117836",
  "points": [
    [
      "132634483654/7921",
      "87784318345420172/704969"
    ],
    [
      "44783134728826/11449",
      "299698027589682085934/1225043"
    ]
  ],
  "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 23:22:14",
  "updated_at": "2026-09-24 23:22:14"
}