{
  "id": 1531,
  "curve_key": "-911953904:3680908919144",
  "ainvs": [
    "0",
    "1",
    "1",
    "18999040",
    "-4253978236"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    5
  ],
  "naive_height": 61.89330000870472,
  "faltings_height": 3.2273994281023675,
  "conductor": "12583365",
  "bad_primes": [
    "3",
    "5",
    "31",
    "27061"
  ],
  "discriminant": "-446750349577679091796875",
  "regulator": "32.582587871670513379677205821001743505049301",
  "points": [
    [
      "253",
      "23854"
    ],
    [
      "346",
      "48592"
    ],
    [
      "286",
      "34687"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/5. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 00:50:50",
  "updated_at": "2026-09-25 00:50:50"
}