{
  "id": 3470,
  "curve_key": "3080740597200:-3485883154833720000",
  "ainvs": [
    "0",
    "0",
    "0",
    "-64182095775",
    "4034586984761250"
  ],
  "rank_lower_bound": 9,
  "torsion": [
    2
  ],
  "naive_height": 86.26857341293815,
  "faltings_height": 5.225335071660319,
  "conductor": "108929272270777788600",
  "bad_primes": [
    "2",
    "3",
    "5",
    "29",
    "67",
    "151",
    "191",
    "241",
    "1009",
    "4441"
  ],
  "discriminant": "9888780383727478018039320516000000",
  "regulator": "154456.24847197585875071354774039424255797062276100194147",
  "points": [
    [
      "-63675",
      "88674750"
    ],
    [
      "38550",
      "40220100"
    ],
    [
      "9405",
      "58581450"
    ],
    [
      "-2324675/9",
      "1569652550/27"
    ],
    [
      "54105",
      "26840250"
    ],
    [
      "-3317775/16",
      "5875194825/64"
    ],
    [
      "461805",
      "-269965350"
    ],
    [
      "654481",
      "492313454"
    ],
    [
      "212655",
      "1630800"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-27 05:43:28",
  "updated_at": "2026-09-27 05:43:28"
}