{
  "id": 1709,
  "curve_key": "4004286074500195089841:-253470917568785979452571456418025",
  "ainvs": [
    "1",
    "1",
    "1",
    "-83422626552087397705",
    "293369117521705826265995362551"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    5
  ],
  "naive_height": 149.22560376535364,
  "faltings_height": 10.169255809333247,
  "conductor": "827411177518827902",
  "bad_primes": [
    "2",
    "7",
    "11",
    "13",
    "19",
    "31",
    "47",
    "67",
    "11059",
    "20149"
  ],
  "discriminant": "-24047426620617204704265819905037365425866870236936476295168",
  "regulator": "9247.5976080670989241958386949742771241762044413597",
  "points": [
    [
      "46619457415/9",
      "411111294999464/27"
    ],
    [
      "5236153487",
      "10797804388088"
    ],
    [
      "-142173553491/16",
      "36934363914190649/64"
    ],
    [
      "39718575067/9",
      "2852495849879588/27"
    ],
    [
      "499576493219/121",
      "184999564957007296/1331"
    ],
    [
      "7017444612891/1369",
      "1056370837070975948/50653"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/5. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 06:13:48",
  "updated_at": "2026-09-25 06:13:48"
}