{
  "id": 1693,
  "curve_key": "1096121047921:-1149722112943974025",
  "ainvs": [
    "1",
    "0",
    "0",
    "-22835855165",
    "1330694986993521"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    5
  ],
  "naive_height": 83.17210389229966,
  "faltings_height": 4.727426292922196,
  "conductor": "8743588854",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "13",
    "1455809"
  ],
  "discriminant": "-2830983052326730881508004364288",
  "regulator": "29.01507350573340292995610013413566951431748931",
  "points": [
    [
      "113170",
      "-14048849"
    ],
    [
      "-83598",
      "51573279"
    ],
    [
      "130018",
      "-23719601"
    ],
    [
      "84388",
      "-2182241"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/5. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 06:11:08",
  "updated_at": "2026-09-25 06:11:08"
}