{
  "id": 4250,
  "curve_key": "16484852322736:-55314393991995076480",
  "ainvs": [
    "0",
    "1",
    "0",
    "-343434423390",
    "64021174864445764"
  ],
  "rank_lower_bound": 10,
  "torsion": [
    2
  ],
  "naive_height": 91.30038910239304,
  "faltings_height": 5.6099172337906165,
  "conductor": "2014302015576706415159968",
  "bad_primes": [
    "2",
    "61",
    "73",
    "97",
    "109",
    "137",
    "439",
    "479",
    "509",
    "1249"
  ],
  "discriminant": "821806890218496351439258401282335552",
  "regulator": "163647680864.4151416032834936045009085893283696397607244153",
  "points": [
    [
      "5312",
      "249393266"
    ],
    [
      "582101440",
      "14044225394958"
    ],
    [
      "5268652425/10609",
      "137993385981284/1092727"
    ],
    [
      "10146447904/6561",
      "955332802855358/531441"
    ],
    [
      "-25083488816/1879641",
      "674963594639299522/2576987811"
    ],
    [
      "-3124745472/18769",
      "877970082087998/2571353"
    ],
    [
      "1123616684153/5987809",
      "1152148625676563588/14652168623"
    ],
    [
      "1926496903232/9928801",
      "2142355182186647726/31285651951"
    ],
    [
      "9487062955914/56896849",
      "45807679909367016182/429172932007"
    ],
    [
      "2417102016074/263055961",
      "1052593364120003892122/4266504631459"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-10-15 18:12:30",
  "updated_at": "2026-10-15 18:12:30"
}