{
  "id": 1548,
  "curve_key": "49784852516557346566849:-11108210810569326065262898799772193",
  "ainvs": [
    "1",
    "0",
    "0",
    "-1037184427428278053476",
    "12856725475109547206583405995280"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    6,
    2
  ],
  "naive_height": 156.78599317291025,
  "faltings_height": 10.669150092579834,
  "conductor": "194361416779530",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "53",
    "239",
    "661",
    "773"
  ],
  "discriminant": "566996084671309012048606748538947638385871944998879470489600",
  "regulator": "1849.8830157034605122241263250498150293841326",
  "points": [
    [
      "114620747437716648/6145441",
      "176268546223276160509764/15234548239"
    ],
    [
      "232275423496/9",
      "48890737178017652/27"
    ],
    [
      "22391325972499448/1510441",
      "1595735186724560174903644/1856331989"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/6+Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 00:53:41",
  "updated_at": "2026-09-25 00:53:41"
}