{
  "id": 2703,
  "curve_key": "-1907951517219986595858383:-276858062048255279889411485148541609",
  "ainvs": [
    "1",
    "0",
    "0",
    "39748989942083054080383",
    "320437571818422693478288732687881"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    9
  ],
  "naive_height": 167.72421718289485,
  "faltings_height": 12.046116314677136,
  "conductor": "21241245030798",
  "bad_primes": [
    "2",
    "3",
    "13",
    "47",
    "73",
    "97",
    "109",
    "7507"
  ],
  "discriminant": "-4063730447065940471422153068323015658845419870708735864115382039085056",
  "regulator": "11406.590966621937172088341457608904894634765",
  "points": [
    [
      "1934039706052506/25",
      "85054931000790833765631/125"
    ],
    [
      "295682381436406614/30217009",
      "4426976963653605185075371887/166102898473"
    ],
    [
      "1413044368546244359146/4155478369",
      "61760011207419415193467963302309/267874602100847"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Voznyy (2021). Source: https://dujella.github.io/tors/z9old3.html (curve entry 17). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:18:28",
  "updated_at": "2026-09-26 20:18:28"
}