{
  "id": 1408,
  "curve_key": "19473777474709266801:-85936225199852987751167879049",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-405703697389776392",
    "99463223712366882392777291"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    12
  ],
  "naive_height": 133.24680592910406,
  "faltings_height": 8.692752236774506,
  "conductor": "401170770",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "61",
    "73"
  ],
  "discriminant": "-19062232464005432782129313148502199614036612608000",
  "regulator": "52.4182291758370471607476286759590104278278",
  "points": [
    [
      "367020351",
      "28044434569"
    ],
    [
      "37539753952892169/101143249",
      "116250290181239654949757/1017197655193"
    ]
  ],
  "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 23:23:18",
  "updated_at": "2026-09-24 23:23:18"
}