{
  "id": 1716,
  "curve_key": "36351968976:-6922944480556224",
  "ainvs": [
    "0",
    "0",
    "0",
    "-757332687",
    "8012667222866"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    4
  ],
  "naive_height": 72.9495426198349,
  "faltings_height": 3.857785090129342,
  "conductor": "77723228520",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "31",
    "83",
    "11987"
  ],
  "discriminant": "64072901497869152249760000",
  "regulator": "131.976965463288576791829531206420181357153612284",
  "points": [
    [
      "-2893",
      "3190520"
    ],
    [
      "-6458",
      "3554460"
    ],
    [
      "12421",
      "722610"
    ],
    [
      "61897",
      "14081130"
    ],
    [
      "15277",
      "91350"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/4. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 06:14:58",
  "updated_at": "2026-09-25 06:14:58"
}