{
  "id": 783,
  "curve_key": "3993696336:-184139224827840",
  "ainvs": [
    "0",
    "0",
    "0",
    "-83202007",
    "213124102810"
  ],
  "rank_lower_bound": 11,
  "torsion": [],
  "naive_height": 66.32394911701361,
  "faltings_height": 3.550426886482873,
  "conductor": "48977152040385241435576",
  "bad_primes": [
    "2",
    "11",
    "457",
    "1217852398060106461"
  ],
  "discriminant": "17239957518215604985322752",
  "regulator": "4336471.37710966009153666868407522805296270363027432836893684",
  "points": [
    [
      "281",
      "435622"
    ],
    [
      "-9707",
      "325754"
    ],
    [
      "2349",
      "175054"
    ],
    [
      "7431",
      "72028"
    ],
    [
      "2833",
      "12254"
    ],
    [
      "12837",
      "1122698"
    ],
    [
      "-9102",
      "465146"
    ],
    [
      "-4757",
      "-708004"
    ],
    [
      "10401",
      "687698"
    ],
    [
      "8487",
      "-343948"
    ],
    [
      "-10147",
      "-112354"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-18 12:39:23",
  "updated_at": "2026-09-18 12:39:23"
}