{
  "id": 1221,
  "curve_key": "1586267180841:-1596000609979255125",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-33047232934",
    "1847231190024964"
  ],
  "rank_lower_bound": 14,
  "torsion": [],
  "naive_height": 84.27721406106537,
  "faltings_height": 5.032014706377226,
  "conductor": "104471690210778059301300532983854",
  "bad_primes": [
    "2",
    "43618453",
    "3061099949",
    "391219827025991"
  ],
  "discriminant": "835773521686224474410404263870832",
  "regulator": "15469840269.3570336375159186630823994293453877260301529719640958723",
  "points": [
    [
      "-244",
      "43073254"
    ],
    [
      "57447",
      "11733440"
    ],
    [
      "17416",
      "35725910"
    ],
    [
      "60245",
      "8627518"
    ],
    [
      "177068",
      "39246270"
    ],
    [
      "23352",
      "32976898"
    ],
    [
      "156344",
      "22328578"
    ],
    [
      "-204032",
      "9911870"
    ],
    [
      "-186356",
      "39257958"
    ],
    [
      "-115877",
      "-64134735"
    ],
    [
      "217920",
      "70561918"
    ],
    [
      "21519",
      "-33864152"
    ],
    [
      "-104831",
      "64547013"
    ],
    [
      "218832",
      "-71486642"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 14:26:47",
  "updated_at": "2026-09-24 14:26:47"
}