{
  "id": 1494,
  "curve_key": "580827592220894377456743682956481:-10573262955192606892008259767737463838223614329121",
  "ainvs": [
    "1",
    "0",
    "0",
    "-12100574837935299530348826728260",
    "12237572864806256968480175273606363024430659600"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    12
  ],
  "naive_height": 226.3260202784127,
  "faltings_height": 16.87907638218757,
  "conductor": "93053749653334470",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "19",
    "23",
    "11969",
    "34849"
  ],
  "discriminant": "48700525959468680131551982085270844258000297183748391162154189053652529216367886336000000000000",
  "regulator": "3277.7868418644576149115873620963369338337141",
  "points": [
    [
      "25080207257701640",
      "3935050719342066415933820"
    ],
    [
      "2447072443149107746994120/2450151001",
      "4110010553863687581953345467873219060/121280024398499"
    ],
    [
      "428750652134737442418282630477320/21334350599734561",
      "8750624509557624731793555252741543796753398473540/3116155646143777828202191"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/12. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 00:38:19",
  "updated_at": "2026-09-25 00:38:19"
}