{
  "id": 1344,
  "curve_key": "2339985823929:-5432045859793260333",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-48749704665",
    "6287102302927625"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    3
  ],
  "naive_height": 86.27769501327623,
  "faltings_height": 5.220231829060026,
  "conductor": "53077317663778110",
  "bad_primes": [
    "2",
    "3",
    "5",
    "17",
    "19",
    "37",
    "53",
    "71",
    "85711"
  ],
  "discriminant": "-9661140676486956250966727130893100",
  "regulator": "5101.827602183103667537251746717950257259561545478145",
  "points": [
    [
      "-63380",
      "95542195"
    ],
    [
      "260185",
      "-106038800"
    ],
    [
      "1289710",
      "1444572925"
    ],
    [
      "436675",
      "-261497075"
    ],
    [
      "-155282",
      "100640053"
    ],
    [
      "-214340",
      "-82892525"
    ],
    [
      "76036",
      "-54992231"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/3. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 17:35:47",
  "updated_at": "2026-09-24 17:35:47"
}