{
  "id": 1349,
  "curve_key": "128372794816:-45985595422274560",
  "ainvs": [
    "0",
    "1",
    "0",
    "-2674433225",
    "53223177298039"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    2
  ],
  "naive_height": 76.73461298211845,
  "faltings_height": 4.11267377152412,
  "conductor": "43121536946337856",
  "bad_primes": [
    "2",
    "23",
    "41",
    "73",
    "359",
    "449",
    "1481"
  ],
  "discriminant": "494237869660419735185887232",
  "regulator": "33029.1048742026573009818023985947082977475069520810435",
  "points": [
    [
      "-2825",
      "7794608"
    ],
    [
      "29485",
      "40208"
    ],
    [
      "8514",
      "5574073"
    ],
    [
      "-13175",
      "9282892"
    ],
    [
      "31639",
      "528448"
    ],
    [
      "28891",
      "268304"
    ],
    [
      "44922",
      "4871989"
    ],
    [
      "31146",
      "374371"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 17:36:38",
  "updated_at": "2026-09-24 17:36:38"
}