{
  "id": 2695,
  "curve_key": "53778937931311024157041:-17521428603813581272875848143454089",
  "ainvs": [
    "1",
    "0",
    "0",
    "-1120394540235646336605",
    "20279431254320501002290372230577"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    9
  ],
  "naive_height": 157.697465384602,
  "faltings_height": 11.16454000395861,
  "conductor": "176365492125690",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "23",
    "47",
    "907",
    "856567"
  ],
  "discriminant": "-87651854983446432648203471363271989461442981596576679424000000000",
  "regulator": "827.29663232568685363172000136984722085590518",
  "points": [
    [
      "31607576994",
      "4055064251251503"
    ],
    [
      "28585928994",
      "3407485803427503"
    ],
    [
      "59588810274",
      "12849326954471343"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Eroshkin (2009). Source: https://dujella.github.io/tors/z9old3.html (curve entry 7). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:18:07",
  "updated_at": "2026-09-26 20:18:07"
}