{
  "id": 1404,
  "curve_key": "19632350469775681:375233405081987787888671",
  "ainvs": [
    "1",
    "0",
    "0",
    "-409007301453660",
    "-434297956632538764528"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    12
  ],
  "naive_height": 112.5478654040545,
  "faltings_height": 7.446089071361124,
  "conductor": "103961130",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "113",
    "337"
  ],
  "discriminant": "4297500423775659881602671879686795034624000000",
  "regulator": "33.6395865679016293026011129405233407822697",
  "points": [
    [
      "-95939779656/5041",
      "7648691913198588/357911"
    ],
    [
      "-64023704136/57121",
      "65090420338725852/13651919"
    ]
  ],
  "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 23:22:04",
  "updated_at": "2026-09-24 23:22:04"
}