{
  "id": 1370,
  "curve_key": "1396343833024:-877782266118444032",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-29090496521",
    "1015961393728521"
  ],
  "rank_lower_bound": 9,
  "torsion": [
    2
  ],
  "naive_height": 83.8946351660099,
  "faltings_height": 5.039509667157799,
  "conductor": "2816328834972349120320",
  "bad_primes": [
    "2",
    "3",
    "5",
    "13",
    "41",
    "61",
    "71",
    "181",
    "2521",
    "2785129"
  ],
  "discriminant": "1129662110147156052749892883353600",
  "regulator": "389289.54453130096297426102784888170624734972196051812379",
  "points": [
    [
      "-158467",
      "-40576224"
    ],
    [
      "1471941",
      "1774067880"
    ],
    [
      "-111809",
      "-53579620"
    ],
    [
      "22493",
      "-19313424"
    ],
    [
      "537800",
      "-375390561"
    ],
    [
      "-33979",
      "44330520"
    ],
    [
      "149555",
      "3218904"
    ],
    [
      "31073",
      "11917776"
    ],
    [
      "-91899",
      "-53974200"
    ]
  ],
  "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 17:40:16",
  "updated_at": "2026-09-24 17:40:16"
}