{
  "id": 1359,
  "curve_key": "88535084365054347489:-833053912064037056871372963537",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-1844480924271965573",
    "964182769053755713558006397"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    3
  ],
  "naive_height": 137.78979174255358,
  "faltings_height": 8.758515206452866,
  "conductor": "46334137721085283821570",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "31",
    "37",
    "71",
    "73",
    "103",
    "1723",
    "8237"
  ],
  "discriminant": "-61131538514895307978217041549479527151206400",
  "regulator": "5513626.09463548366101463988402809433624879304480091372",
  "points": [
    [
      "779260183",
      "234540928008"
    ],
    [
      "784138735",
      "1048550736"
    ],
    [
      "813238757983/1089",
      "64539112389845504/35937"
    ],
    [
      "7056889207/9",
      "2815544576/27"
    ],
    [
      "7057067707/9",
      "1989815476/27"
    ],
    [
      "24495729967/49",
      "4432951348620544/343"
    ],
    [
      "-809298113",
      "43896384276352"
    ],
    [
      "63512128303/81",
      "21273512192/729"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/3. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 17:38:20",
  "updated_at": "2026-09-24 17:38:20"
}