{
  "id": 1315,
  "curve_key": "194790987657:-85974046342193061",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-4058145576",
    "99508012617636"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    3
  ],
  "naive_height": 77.98564371779746,
  "faltings_height": 4.160367977264221,
  "conductor": "16312174335162",
  "bad_primes": [
    "2",
    "3",
    "23",
    "29",
    "31",
    "37",
    "47",
    "271"
  ],
  "discriminant": "-277303359322162277284937076",
  "regulator": "753.47826477252193339000754291068855649042492381239",
  "points": [
    [
      "36774",
      "38436"
    ],
    [
      "33954",
      "911226"
    ],
    [
      "41145",
      "1459011"
    ],
    [
      "38014",
      "397230"
    ],
    [
      "37456",
      "213710"
    ],
    [
      "39406",
      "864884"
    ]
  ],
  "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 17:30:46",
  "updated_at": "2026-09-24 17:30:46"
}