{
  "id": 2696,
  "curve_key": "93641929613411666719681:-28665011109601268295178196864725921",
  "ainvs": [
    "1",
    "0",
    "0",
    "-1950873533612743056660",
    "33177096191505561806432962227600"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    9
  ],
  "naive_height": 158.6819706454611,
  "faltings_height": 10.958721225379454,
  "conductor": "540153536494110",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "17",
    "19",
    "853",
    "848699"
  ],
  "discriminant": "-320880306559112473346277208611638785822589986125270171000000000",
  "regulator": "539.91038209645652064928669329889661585592381",
  "points": [
    [
      "24748026030",
      "232628604513480"
    ],
    [
      "6507559170",
      "4556009858342040"
    ],
    [
      "-500066052304/25",
      "-1001533122077024684/125"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "van Beek (2015). Source: https://dujella.github.io/tors/z9old3.html (curve entry 14). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:18:11",
  "updated_at": "2026-09-26 20:18:11"
}