{
  "id": 1351,
  "curve_key": "91844307136:-27831844417761280",
  "ainvs": [
    "0",
    "1",
    "0",
    "-1913423065",
    "32212145083239"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    2
  ],
  "naive_height": 75.73008200002745,
  "faltings_height": 4.000961445692765,
  "conductor": "6682940617328192",
  "bad_primes": [
    "2",
    "7",
    "31",
    "113",
    "193",
    "233",
    "281",
    "337"
  ],
  "discriminant": "75098172885467432959741952",
  "regulator": "16962.8641654017777536635610558167193774031442324139612",
  "points": [
    [
      "-7583",
      "6803356"
    ],
    [
      "8930",
      "3979633"
    ],
    [
      "34879",
      "2811928"
    ],
    [
      "20725",
      "1207808"
    ],
    [
      "26815",
      "-430808"
    ],
    [
      "224269/9",
      "2057048/27"
    ],
    [
      "26311",
      "288176"
    ],
    [
      "171701",
      "69033776"
    ]
  ],
  "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 17:36:58",
  "updated_at": "2026-09-24 17:36:58"
}