{
  "id": 1613,
  "curve_key": "2891424505:-142361385819661",
  "ainvs": [
    "1",
    "0",
    "1",
    "-60238011",
    "164765102642"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    6
  ],
  "naive_height": 65.35504537780757,
  "faltings_height": 3.4115638406237796,
  "conductor": "473326714",
  "bad_primes": [
    "2",
    "7",
    "41",
    "43",
    "127",
    "151"
  ],
  "discriminant": "2260714842776285884358468",
  "regulator": "554.1113411965318399522872924305753499696772376",
  "points": [
    [
      "312977/121",
      "213971078/1331"
    ],
    [
      "-25490/81",
      "312557264/729"
    ],
    [
      "2373",
      "186388"
    ],
    [
      "4636275",
      "9980500606"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/6. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 01:36:04",
  "updated_at": "2026-09-25 01:36:04"
}