{
  "id": 1302,
  "curve_key": "187941025:-3199419348625",
  "ainvs": [
    "1",
    "0",
    "0",
    "-3915438",
    "3702705367"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "naive_height": 57.58798091142971,
  "faltings_height": 2.8039059840524643,
  "conductor": "82820649775",
  "bad_primes": [
    "5",
    "29",
    "71",
    "109",
    "509"
  ],
  "discriminant": "-2082096900544319921875",
  "regulator": "514.66523411467421619957557222283505593282191755484",
  "points": [
    [
      "1607",
      "38709"
    ],
    [
      "1062",
      "26719"
    ],
    [
      "-1663",
      "75769"
    ],
    [
      "-1438",
      "80469"
    ],
    [
      "41517/16",
      "6634091/64"
    ],
    [
      "77683/9",
      "21022663/27"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 17:28:34",
  "updated_at": "2026-09-24 17:28:34"
}