{
  "id": 2880,
  "curve_key": "15935998280943768619216:-2011057022638922150271103275241664",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-331999964186328512900",
    "2327612294831641365690701258052"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    4,
    2
  ],
  "naive_height": 153.36860263753408,
  "faltings_height": 10.515468543444001,
  "conductor": "395973919495628914440",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "19",
    "53",
    "103",
    "167",
    "349",
    "32077"
  ],
  "discriminant": "1558268435409180652130660451933263919822501911140260201273600",
  "regulator": "61288.144676373455195074846664325341979223720963789",
  "points": [
    [
      "11413318654",
      "158535977399800"
    ],
    [
      "2131189889",
      "1276611581208600"
    ],
    [
      "4902393233",
      "904344727306020"
    ],
    [
      "1363681784",
      "1370184634353990"
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    [
      "10210152404",
      "47137942544550"
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    [
      "10832642558",
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  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Dujella (2006). Source: https://dujella.github.io/tors/z2z4old678.html (curve entry 100). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:26:37",
  "updated_at": "2026-09-26 20:26:37"
}