{
  "id": 1371,
  "curve_key": "649399260496:-201636094312502720",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-13529151260",
    "233379618875076"
  ],
  "rank_lower_bound": 9,
  "torsion": [
    2
  ],
  "naive_height": 81.59794067359468,
  "faltings_height": 4.858367074693395,
  "conductor": "334879589896641804408",
  "bad_primes": [
    "2",
    "3",
    "17",
    "31",
    "37",
    "41",
    "59",
    "89",
    "373",
    "733",
    "12157"
  ],
  "discriminant": "134957842398024078814938277754112",
  "regulator": "155991.11217505415647176314013753805135935447278110182694",
  "points": [
    [
      "-117356",
      "14311378"
    ],
    [
      "-105712",
      "21959682"
    ],
    [
      "106924",
      "3035078"
    ],
    [
      "-93676",
      "26051922"
    ],
    [
      "107160",
      "3759126"
    ],
    [
      "-59710",
      "-28780524"
    ],
    [
      "203756",
      "77044986"
    ],
    [
      "-56378/9",
      "481390676/27"
    ],
    [
      "232948",
      "98603278"
    ]
  ],
  "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 17:40:26",
  "updated_at": "2026-09-24 17:40:26"
}