{
  "id": 1321,
  "curve_key": "462798193369:-314839309254372253",
  "ainvs": [
    "1",
    "0",
    "1",
    "-9641629029",
    "364396545204956"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    3
  ],
  "naive_height": 80.58167754844975,
  "faltings_height": 4.314627435610971,
  "conductor": "7155067330810",
  "bad_primes": [
    "2",
    "5",
    "7",
    "37",
    "43",
    "73",
    "97",
    "211"
  ],
  "discriminant": "-387933295002563872173108700",
  "regulator": "1511.8996430025164636515679165409216317708306604082",
  "points": [
    [
      "96558",
      "18218518"
    ],
    [
      "56679",
      "7108"
    ],
    [
      "117025",
      "28902292"
    ],
    [
      "61454617/1089",
      "3021152236/35937"
    ],
    [
      "54033",
      "1061098"
    ],
    [
      "4682319/100",
      "3926391433/1000"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/3. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 17:31:48",
  "updated_at": "2026-09-24 17:31:48"
}