{
  "id": 1626,
  "curve_key": "3433135547195062568161:-190523940008231436870448025925841",
  "ainvs": [
    "1",
    "0",
    "0",
    "-71523657233230470170",
    "220513819448011265682471564900"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    7
  ],
  "naive_height": 148.7632828505099,
  "faltings_height": 10.33913379206144,
  "conductor": "23795568260310",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "17",
    "19",
    "1889",
    "16883"
  ],
  "discriminant": "2410303634198756699966710733185142934856286679733370880000000",
  "regulator": "273.7715057173534052699941922618766898588019660",
  "points": [
    [
      "20000127700",
      "-2605808300449130"
    ],
    [
      "-3469666340",
      "653383073721910"
    ],
    [
      "-827105294540/1849",
      "-39945321515273140190/79507"
    ],
    [
      "1256794312060/169",
      "694370364874583110/2197"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/7. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 01:49:22",
  "updated_at": "2026-09-25 01:49:22"
}