{
  "id": 1664,
  "curve_key": "1823509712597406241:-2083300279357389582465615025",
  "ainvs": [
    "1",
    "0",
    "0",
    "-37989785679112630",
    "2411227172016348395335076"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    5
  ],
  "naive_height": 126.14188419448271,
  "faltings_height": 8.507361539699824,
  "conductor": "92112876075066",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "19",
    "29",
    "37",
    "41",
    "238529"
  ],
  "discriminant": "997321737277683279829915342762561828516977790943232",
  "regulator": "298.961799399300470495354402368264893903743173345",
  "points": [
    [
      "56407052",
      "669156976634"
    ],
    [
      "212349636620",
      "97853559730460666"
    ],
    [
      "994497548",
      "30792582932474"
    ],
    [
      "-8020276",
      "1647851040506"
    ],
    [
      "74239616",
      "7259754458"
    ]
  ],
  "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 02:42:19",
  "updated_at": "2026-09-25 02:42:19"
}