{
  "id": 1364,
  "curve_key": "659724089296:-348745849931913920",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-13744251860",
    "403645611431076"
  ],
  "rank_lower_bound": 9,
  "torsion": [
    2
  ],
  "naive_height": 81.64526261411959,
  "faltings_height": 4.839258057287813,
  "conductor": "1115505417782881151832",
  "bad_primes": [
    "2",
    "3",
    "13",
    "19",
    "23",
    "29",
    "61",
    "89",
    "180241",
    "288313"
  ],
  "discriminant": "95782362706698166453318160838912",
  "regulator": "201614.26245128810785258806772940416446727977535860164067",
  "points": [
    [
      "-127984",
      "8142966"
    ],
    [
      "8958",
      "16770312"
    ],
    [
      "21536",
      "10846074"
    ],
    [
      "98788",
      "3153982"
    ],
    [
      "5669",
      "18053022"
    ],
    [
      "17356",
      "13050986"
    ],
    [
      "-102530",
      "-27110824"
    ],
    [
      "-107054",
      "-25458056"
    ],
    [
      "269134",
      "127274272"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 17:39:11",
  "updated_at": "2026-09-24 17:39:11"
}